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Finding the Fourth Proportional to 402,108.70, 555,034.58 and 258,868.75

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Solution

The fourth proportional to 402,108.70, 555,034.58 and 258,868.75 is: 357,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,108.70 : 555,034.58 = 258,868.75 : x
  2. Step 2: Convert to fraction form
    402,108.70/555,034.58 = 258,868.75/x
  3. Step 3: Cross multiply
    402,108.70x = 555,034.58 × 258,868.75
  4. Step 4: Simplify right side
    402,108.70x = 143,681,107,931.38
  5. Step 5: Solve for x
    x = 143,681,107,931.38/402,108.70
  6. Step 6: Final answer
    x = 357,319.07

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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.