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Finding the Fourth Proportional to 429,558.53, 592,855.40 and 309,098.57

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Solution

The fourth proportional to 429,558.53, 592,855.40 and 309,098.57 is: 426,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,558.53 : 592,855.40 = 309,098.57 : x
  2. Step 2: Convert to fraction form
    429,558.53/592,855.40 = 309,098.57/x
  3. Step 3: Cross multiply
    429,558.53x = 592,855.40 × 309,098.57
  4. Step 4: Simplify right side
    429,558.53x = 183,250,754,165.25
  5. Step 5: Solve for x
    x = 183,250,754,165.25/429,558.53
  6. Step 6: Final answer
    x = 426,602.53

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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.