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Finding the Fourth Proportional to 598,691.76, 898,300.60 and 314,316.24

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Solution

The fourth proportional to 598,691.76, 898,300.60 and 314,316.24 is: 471,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,691.76 : 898,300.60 = 314,316.24 : x
  2. Step 2: Convert to fraction form
    598,691.76/898,300.60 = 314,316.24/x
  3. Step 3: Cross multiply
    598,691.76x = 898,300.60 × 314,316.24
  4. Step 4: Simplify right side
    598,691.76x = 282,350,464,074.87
  5. Step 5: Solve for x
    x = 282,350,464,074.87/598,691.76
  6. Step 6: Final answer
    x = 471,612.41

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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.