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Finding the Fourth Proportional to 475,270.92, 655,873.74 and 260,419.14

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Solution

The fourth proportional to 475,270.92, 655,873.74 and 260,419.14 is: 359,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,270.92 : 655,873.74 = 260,419.14 : x
  2. Step 2: Convert to fraction form
    475,270.92/655,873.74 = 260,419.14/x
  3. Step 3: Cross multiply
    475,270.92x = 655,873.74 × 260,419.14
  4. Step 4: Simplify right side
    475,270.92x = 170,802,075,319.38
  5. Step 5: Solve for x
    x = 170,802,075,319.38/475,270.92
  6. Step 6: Final answer
    x = 359,378.34

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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.