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Finding the Fourth Proportional to 615,732, 923,532.96 and 291,442.40

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Solution

The fourth proportional to 615,732, 923,532.96 and 291,442.40 is: 437,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,732 : 923,532.96 = 291,442.40 : x
  2. Step 2: Convert to fraction form
    615,732/923,532.96 = 291,442.40/x
  3. Step 3: Cross multiply
    615,732x = 923,532.96 × 291,442.40
  4. Step 4: Simplify right side
    615,732x = 269,156,662,341.50
  5. Step 5: Solve for x
    x = 269,156,662,341.50/615,732
  6. Step 6: Final answer
    x = 437,132.81

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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.