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Finding the Fourth Proportional to 716,414.48, 989,315.88 and 462,202.64

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Solution

The fourth proportional to 716,414.48, 989,315.88 and 462,202.64 is: 638,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,414.48 : 989,315.88 = 462,202.64 : x
  2. Step 2: Convert to fraction form
    716,414.48/989,315.88 = 462,202.64/x
  3. Step 3: Cross multiply
    716,414.48x = 989,315.88 × 462,202.64
  4. Step 4: Simplify right side
    716,414.48x = 457,264,411,529.92
  5. Step 5: Solve for x
    x = 457,264,411,529.92/716,414.48
  6. Step 6: Final answer
    x = 638,267.96

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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.