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Finding the Fourth Proportional to 653,385.69, 901,281.32 and 411,247.89

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Solution

The fourth proportional to 653,385.69, 901,281.32 and 411,247.89 is: 567,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,385.69 : 901,281.32 = 411,247.89 : x
  2. Step 2: Convert to fraction form
    653,385.69/901,281.32 = 411,247.89/x
  3. Step 3: Cross multiply
    653,385.69x = 901,281.32 × 411,247.89
  4. Step 4: Simplify right side
    653,385.69x = 370,650,041,146.42
  5. Step 5: Solve for x
    x = 370,650,041,146.42/653,385.69
  6. Step 6: Final answer
    x = 567,276.03

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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.