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Finding the Fourth Proportional to 402,190.02, 555,000.56 and 230,111.40

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Solution

The fourth proportional to 402,190.02, 555,000.56 and 230,111.40 is: 317,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,190.02 : 555,000.56 = 230,111.40 : x
  2. Step 2: Convert to fraction form
    402,190.02/555,000.56 = 230,111.40/x
  3. Step 3: Cross multiply
    402,190.02x = 555,000.56 × 230,111.40
  4. Step 4: Simplify right side
    402,190.02x = 127,711,955,862.38
  5. Step 5: Solve for x
    x = 127,711,955,862.38/402,190.02
  6. Step 6: Final answer
    x = 317,541.33

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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.