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Finding the Fourth Proportional to 317,547.64, 438,214.08 and 174,310.12

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Solution

The fourth proportional to 317,547.64, 438,214.08 and 174,310.12 is: 240,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,547.64 : 438,214.08 = 174,310.12 : x
  2. Step 2: Convert to fraction form
    317,547.64/438,214.08 = 174,310.12/x
  3. Step 3: Cross multiply
    317,547.64x = 438,214.08 × 174,310.12
  4. Step 4: Simplify right side
    317,547.64x = 76,385,148,870.49
  5. Step 5: Solve for x
    x = 76,385,148,870.49/317,547.64
  6. Step 6: Final answer
    x = 240,547.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.