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Finding the Fourth Proportional to 514,138.40, 771,207.60 and 364,547.60

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Solution

The fourth proportional to 514,138.40, 771,207.60 and 364,547.60 is: 546,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,138.40 : 771,207.60 = 364,547.60 : x
  2. Step 2: Convert to fraction form
    514,138.40/771,207.60 = 364,547.60/x
  3. Step 3: Cross multiply
    514,138.40x = 771,207.60 × 364,547.60
  4. Step 4: Simplify right side
    514,138.40x = 281,141,879,681.76
  5. Step 5: Solve for x
    x = 281,141,879,681.76/514,138.40
  6. Step 6: Final answer
    x = 546,821.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.