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Finding the Fourth Proportional to 514,076.10, 709,064.40 and 358,768.12

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Solution

The fourth proportional to 514,076.10, 709,064.40 and 358,768.12 is: 494,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,076.10 : 709,064.40 = 358,768.12 : x
  2. Step 2: Convert to fraction form
    514,076.10/709,064.40 = 358,768.12/x
  3. Step 3: Cross multiply
    514,076.10x = 709,064.40 × 358,768.12
  4. Step 4: Simplify right side
    514,076.10x = 254,389,701,746.93
  5. Step 5: Solve for x
    x = 254,389,701,746.93/514,076.10
  6. Step 6: Final answer
    x = 494,848.33

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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.