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Finding the Fourth Proportional to 462,691.77, 638,326.74 and 301,488

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Solution

The fourth proportional to 462,691.77, 638,326.74 and 301,488 is: 415,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,691.77 : 638,326.74 = 301,488 : x
  2. Step 2: Convert to fraction form
    462,691.77/638,326.74 = 301,488/x
  3. Step 3: Cross multiply
    462,691.77x = 638,326.74 × 301,488
  4. Step 4: Simplify right side
    462,691.77x = 192,447,852,189.12
  5. Step 5: Solve for x
    x = 192,447,852,189.12/462,691.77
  6. Step 6: Final answer
    x = 415,931.00

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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.