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Finding the Fourth Proportional to 562,657.19, 776,829.15 and 502,123.86

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Solution

The fourth proportional to 562,657.19, 776,829.15 and 502,123.86 is: 693,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,657.19 : 776,829.15 = 502,123.86 : x
  2. Step 2: Convert to fraction form
    562,657.19/776,829.15 = 502,123.86/x
  3. Step 3: Cross multiply
    562,657.19x = 776,829.15 × 502,123.86
  4. Step 4: Simplify right side
    562,657.19x = 390,064,451,358.52
  5. Step 5: Solve for x
    x = 390,064,451,358.52/562,657.19
  6. Step 6: Final answer
    x = 693,254.19

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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.