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Finding the Fourth Proportional to 474,533.70, 654,901.20 and 283,543.08

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Solution

The fourth proportional to 474,533.70, 654,901.20 and 283,543.08 is: 391,316.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,533.70 : 654,901.20 = 283,543.08 : x
  2. Step 2: Convert to fraction form
    474,533.70/654,901.20 = 283,543.08/x
  3. Step 3: Cross multiply
    474,533.70x = 654,901.20 × 283,543.08
  4. Step 4: Simplify right side
    474,533.70x = 185,692,703,343.70
  5. Step 5: Solve for x
    x = 185,692,703,343.70/474,533.70
  6. Step 6: Final answer
    x = 391,316.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.