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Finding the Fourth Proportional to 408,663.16, 564,159.37 and 316,577.48

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Solution

The fourth proportional to 408,663.16, 564,159.37 and 316,577.48 is: 437,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,663.16 : 564,159.37 = 316,577.48 : x
  2. Step 2: Convert to fraction form
    408,663.16/564,159.37 = 316,577.48/x
  3. Step 3: Cross multiply
    408,663.16x = 564,159.37 × 316,577.48
  4. Step 4: Simplify right side
    408,663.16x = 178,600,151,005.83
  5. Step 5: Solve for x
    x = 178,600,151,005.83/408,663.16
  6. Step 6: Final answer
    x = 437,035.11

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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.