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Finding the Fourth Proportional to 413,929.60, 620,894.40 and 307,641.40

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Solution

The fourth proportional to 413,929.60, 620,894.40 and 307,641.40 is: 461,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,929.60 : 620,894.40 = 307,641.40 : x
  2. Step 2: Convert to fraction form
    413,929.60/620,894.40 = 307,641.40/x
  3. Step 3: Cross multiply
    413,929.60x = 620,894.40 × 307,641.40
  4. Step 4: Simplify right side
    413,929.60x = 191,012,822,468.16
  5. Step 5: Solve for x
    x = 191,012,822,468.16/413,929.60
  6. Step 6: Final answer
    x = 461,462.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.