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Finding the Fourth Proportional to 530,828, 732,542.64 and 292,364

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Solution

The fourth proportional to 530,828, 732,542.64 and 292,364 is: 403,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,828 : 732,542.64 = 292,364 : x
  2. Step 2: Convert to fraction form
    530,828/732,542.64 = 292,364/x
  3. Step 3: Cross multiply
    530,828x = 732,542.64 × 292,364
  4. Step 4: Simplify right side
    530,828x = 214,169,096,400.96
  5. Step 5: Solve for x
    x = 214,169,096,400.96/530,828
  6. Step 6: Final answer
    x = 403,462.32

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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.