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Finding the Fourth Proportional to 205,430.70, 307,562.85 and 205,430.70

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Solution

The fourth proportional to 205,430.70, 307,562.85 and 205,430.70 is: 307,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,430.70 : 307,562.85 = 205,430.70 : x
  2. Step 2: Convert to fraction form
    205,430.70/307,562.85 = 205,430.70/x
  3. Step 3: Cross multiply
    205,430.70x = 307,562.85 × 205,430.70
  4. Step 4: Simplify right side
    205,430.70x = 63,182,851,569.50
  5. Step 5: Solve for x
    x = 63,182,851,569.50/205,430.70
  6. Step 6: Final answer
    x = 307,562.85

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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.