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Finding the Fourth Proportional to 917,037, 1,265,627.70 and 514,629

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Solution

The fourth proportional to 917,037, 1,265,627.70 and 514,629 is: 710,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,037 : 1,265,627.70 = 514,629 : x
  2. Step 2: Convert to fraction form
    917,037/1,265,627.70 = 514,629/x
  3. Step 3: Cross multiply
    917,037x = 1,265,627.70 × 514,629
  4. Step 4: Simplify right side
    917,037x = 651,328,717,623.30
  5. Step 5: Solve for x
    x = 651,328,717,623.30/917,037
  6. Step 6: Final answer
    x = 710,253.48

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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.