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Finding the Fourth Proportional to 287,220.80, 430,850.40 and 97,678.40

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Solution

The fourth proportional to 287,220.80, 430,850.40 and 97,678.40 is: 146,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,220.80 : 430,850.40 = 97,678.40 : x
  2. Step 2: Convert to fraction form
    287,220.80/430,850.40 = 97,678.40/x
  3. Step 3: Cross multiply
    287,220.80x = 430,850.40 × 97,678.40
  4. Step 4: Simplify right side
    287,220.80x = 42,084,777,711.36
  5. Step 5: Solve for x
    x = 42,084,777,711.36/287,220.80
  6. Step 6: Final answer
    x = 146,524.13

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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.