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Finding the Fourth Proportional to 432,097.40, 647,595.30 and 242,557.40

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Solution

The fourth proportional to 432,097.40, 647,595.30 and 242,557.40 is: 363,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,097.40 : 647,595.30 = 242,557.40 : x
  2. Step 2: Convert to fraction form
    432,097.40/647,595.30 = 242,557.40/x
  3. Step 3: Cross multiply
    432,097.40x = 647,595.30 × 242,557.40
  4. Step 4: Simplify right side
    432,097.40x = 157,079,032,220.22
  5. Step 5: Solve for x
    x = 157,079,032,220.22/432,097.40
  6. Step 6: Final answer
    x = 363,526.91

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1.5x scale

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.