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Finding the Fourth Proportional to 402,675.34, 555,235.40 and 257,289.04

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Solution

The fourth proportional to 402,675.34, 555,235.40 and 257,289.04 is: 354,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,675.34 : 555,235.40 = 257,289.04 : x
  2. Step 2: Convert to fraction form
    402,675.34/555,235.40 = 257,289.04/x
  3. Step 3: Cross multiply
    402,675.34x = 555,235.40 × 257,289.04
  4. Step 4: Simplify right side
    402,675.34x = 142,855,983,040.02
  5. Step 5: Solve for x
    x = 142,855,983,040.02/402,675.34
  6. Step 6: Final answer
    x = 354,767.15

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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.