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Finding the Fourth Proportional to 562,541.68, 776,307.50 and 307,892.86

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Solution

The fourth proportional to 562,541.68, 776,307.50 and 307,892.86 is: 424,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,541.68 : 776,307.50 = 307,892.86 : x
  2. Step 2: Convert to fraction form
    562,541.68/776,307.50 = 307,892.86/x
  3. Step 3: Cross multiply
    562,541.68x = 776,307.50 × 307,892.86
  4. Step 4: Simplify right side
    562,541.68x = 239,019,536,414.45
  5. Step 5: Solve for x
    x = 239,019,536,414.45/562,541.68
  6. Step 6: Final answer
    x = 424,892.14

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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.