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Finding the Fourth Proportional to 602,193.80, 830,967.54 and 347,627

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Solution

The fourth proportional to 602,193.80, 830,967.54 and 347,627 is: 479,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,193.80 : 830,967.54 = 347,627 : x
  2. Step 2: Convert to fraction form
    602,193.80/830,967.54 = 347,627/x
  3. Step 3: Cross multiply
    602,193.80x = 830,967.54 × 347,627
  4. Step 4: Simplify right side
    602,193.80x = 288,866,753,027.58
  5. Step 5: Solve for x
    x = 288,866,753,027.58/602,193.80
  6. Step 6: Final answer
    x = 479,690.68

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1.5x scale

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.