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Finding the Fourth Proportional to 462,503.81, 693,608.07 and 146,886.89

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Solution

The fourth proportional to 462,503.81, 693,608.07 and 146,886.89 is: 220,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,503.81 : 693,608.07 = 146,886.89 : x
  2. Step 2: Convert to fraction form
    462,503.81/693,608.07 = 146,886.89/x
  3. Step 3: Cross multiply
    462,503.81x = 693,608.07 × 146,886.89
  4. Step 4: Simplify right side
    462,503.81x = 101,881,932,281.20
  5. Step 5: Solve for x
    x = 101,881,932,281.20/462,503.81
  6. Step 6: Final answer
    x = 220,283.44

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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.