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Finding the Fourth Proportional to 560,498.16, 840,723.72 and 260,875.68

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Solution

The fourth proportional to 560,498.16, 840,723.72 and 260,875.68 is: 391,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,498.16 : 840,723.72 = 260,875.68 : x
  2. Step 2: Convert to fraction form
    560,498.16/840,723.72 = 260,875.68/x
  3. Step 3: Cross multiply
    560,498.16x = 840,723.72 × 260,875.68
  4. Step 4: Simplify right side
    560,498.16x = 219,324,372,147.13
  5. Step 5: Solve for x
    x = 219,324,372,147.13/560,498.16
  6. Step 6: Final answer
    x = 391,302.57

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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.