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Finding the Fourth Proportional to 475,434.24, 656,069.50 and 260,559.06

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Solution

The fourth proportional to 475,434.24, 656,069.50 and 260,559.06 is: 359,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,434.24 : 656,069.50 = 260,559.06 : x
  2. Step 2: Convert to fraction form
    475,434.24/656,069.50 = 260,559.06/x
  3. Step 3: Cross multiply
    475,434.24x = 656,069.50 × 260,559.06
  4. Step 4: Simplify right side
    475,434.24x = 170,944,852,214.67
  5. Step 5: Solve for x
    x = 170,944,852,214.67/475,434.24
  6. Step 6: Final answer
    x = 359,555.20

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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.