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Finding the Fourth Proportional to 365,740.35, 547,541.33 and 260,764.35

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Solution

The fourth proportional to 365,740.35, 547,541.33 and 260,764.35 is: 390,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,740.35 : 547,541.33 = 260,764.35 : x
  2. Step 2: Convert to fraction form
    365,740.35/547,541.33 = 260,764.35/x
  3. Step 3: Cross multiply
    365,740.35x = 547,541.33 × 260,764.35
  4. Step 4: Simplify right side
    365,740.35x = 142,779,257,711.76
  5. Step 5: Solve for x
    x = 142,779,257,711.76/365,740.35
  6. Step 6: Final answer
    x = 390,384.21

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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.