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Finding the Fourth Proportional to 402,123.36, 555,145.71 and 310,041.53

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Solution

The fourth proportional to 402,123.36, 555,145.71 and 310,041.53 is: 428,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,123.36 : 555,145.71 = 310,041.53 : x
  2. Step 2: Convert to fraction form
    402,123.36/555,145.71 = 310,041.53/x
  3. Step 3: Cross multiply
    402,123.36x = 555,145.71 × 310,041.53
  4. Step 4: Simplify right side
    402,123.36x = 172,118,222,525.61
  5. Step 5: Solve for x
    x = 172,118,222,525.61/402,123.36
  6. Step 6: Final answer
    x = 428,023.44

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