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Finding the Fourth Proportional to 429,638.64, 592,805.88 and 259,869.12

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Solution

The fourth proportional to 429,638.64, 592,805.88 and 259,869.12 is: 358,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,638.64 : 592,805.88 = 259,869.12 : x
  2. Step 2: Convert to fraction form
    429,638.64/592,805.88 = 259,869.12/x
  3. Step 3: Cross multiply
    429,638.64x = 592,805.88 × 259,869.12
  4. Step 4: Simplify right side
    429,638.64x = 154,051,942,366.43
  5. Step 5: Solve for x
    x = 154,051,942,366.43/429,638.64
  6. Step 6: Final answer
    x = 358,561.66

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1.5x scale

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.