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Finding the Fourth Proportional to 242,013.60, 363,020.40 and 232,828.20

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Solution

The fourth proportional to 242,013.60, 363,020.40 and 232,828.20 is: 349,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,013.60 : 363,020.40 = 232,828.20 : x
  2. Step 2: Convert to fraction form
    242,013.60/363,020.40 = 232,828.20/x
  3. Step 3: Cross multiply
    242,013.60x = 363,020.40 × 232,828.20
  4. Step 4: Simplify right side
    242,013.60x = 84,521,386,295.28
  5. Step 5: Solve for x
    x = 84,521,386,295.28/242,013.60
  6. Step 6: Final answer
    x = 349,242.30

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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.