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Finding the Fourth Proportional to 431,897.60, 596,014.64 and 238,307.08

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Solution

The fourth proportional to 431,897.60, 596,014.64 and 238,307.08 is: 328,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,897.60 : 596,014.64 = 238,307.08 : x
  2. Step 2: Convert to fraction form
    431,897.60/596,014.64 = 238,307.08/x
  3. Step 3: Cross multiply
    431,897.60x = 596,014.64 × 238,307.08
  4. Step 4: Simplify right side
    431,897.60x = 142,034,508,495.65
  5. Step 5: Solve for x
    x = 142,034,508,495.65/431,897.60
  6. Step 6: Final answer
    x = 328,861.54

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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.