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Finding the Fourth Proportional to 601,542, 830,128.14 and 359,834.76

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Solution

The fourth proportional to 601,542, 830,128.14 and 359,834.76 is: 496,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,542 : 830,128.14 = 359,834.76 : x
  2. Step 2: Convert to fraction form
    601,542/830,128.14 = 359,834.76/x
  3. Step 3: Cross multiply
    601,542x = 830,128.14 × 359,834.76
  4. Step 4: Simplify right side
    601,542x = 298,708,960,026.15
  5. Step 5: Solve for x
    x = 298,708,960,026.15/601,542
  6. Step 6: Final answer
    x = 496,572.08

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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.