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Finding the Fourth Proportional to 429,534.87, 592,771.68 and 257,396.10

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Solution

The fourth proportional to 429,534.87, 592,771.68 and 257,396.10 is: 355,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,534.87 : 592,771.68 = 257,396.10 : x
  2. Step 2: Convert to fraction form
    429,534.87/592,771.68 = 257,396.10/x
  3. Step 3: Cross multiply
    429,534.87x = 592,771.68 × 257,396.10
  4. Step 4: Simplify right side
    429,534.87x = 152,577,118,622.45
  5. Step 5: Solve for x
    x = 152,577,118,622.45/429,534.87
  6. Step 6: Final answer
    x = 355,214.74

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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.