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Finding the Fourth Proportional to 562,397.10, 776,097.63 and 307,743.18

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Solution

The fourth proportional to 562,397.10, 776,097.63 and 307,743.18 is: 424,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,397.10 : 776,097.63 = 307,743.18 : x
  2. Step 2: Convert to fraction form
    562,397.10/776,097.63 = 307,743.18/x
  3. Step 3: Cross multiply
    562,397.10x = 776,097.63 × 307,743.18
  4. Step 4: Simplify right side
    562,397.10x = 238,838,752,646.66
  5. Step 5: Solve for x
    x = 238,838,752,646.66/562,397.10
  6. Step 6: Final answer
    x = 424,679.92

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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.