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Finding the Fourth Proportional to 530,978.76, 732,034.26 and 514,467.72

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Solution

The fourth proportional to 530,978.76, 732,034.26 and 514,467.72 is: 709,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,978.76 : 732,034.26 = 514,467.72 : x
  2. Step 2: Convert to fraction form
    530,978.76/732,034.26 = 514,467.72/x
  3. Step 3: Cross multiply
    530,978.76x = 732,034.26 × 514,467.72
  4. Step 4: Simplify right side
    530,978.76x = 376,607,996,704.09
  5. Step 5: Solve for x
    x = 376,607,996,704.09/530,978.76
  6. Step 6: Final answer
    x = 709,271.30

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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.