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Finding the Fourth Proportional to 474,254.40, 711,316.80 and 141,830.40

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Solution

The fourth proportional to 474,254.40, 711,316.80 and 141,830.40 is: 212,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,254.40 : 711,316.80 = 141,830.40 : x
  2. Step 2: Convert to fraction form
    474,254.40/711,316.80 = 141,830.40/x
  3. Step 3: Cross multiply
    474,254.40x = 711,316.80 × 141,830.40
  4. Step 4: Simplify right side
    474,254.40x = 100,886,346,270.72
  5. Step 5: Solve for x
    x = 100,886,346,270.72/474,254.40
  6. Step 6: Final answer
    x = 212,726.22

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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.