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Finding the Fourth Proportional to 475,047.12, 655,541.64 and 260,188.14

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Solution

The fourth proportional to 475,047.12, 655,541.64 and 260,188.14 is: 359,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,047.12 : 655,541.64 = 260,188.14 : x
  2. Step 2: Convert to fraction form
    475,047.12/655,541.64 = 260,188.14/x
  3. Step 3: Cross multiply
    475,047.12x = 655,541.64 × 260,188.14
  4. Step 4: Simplify right side
    475,047.12x = 170,564,160,004.15
  5. Step 5: Solve for x
    x = 170,564,160,004.15/475,047.12
  6. Step 6: Final answer
    x = 359,046.82

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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.