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Finding the Fourth Proportional to 417,312, 575,890.56 and 238,464

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Solution

The fourth proportional to 417,312, 575,890.56 and 238,464 is: 329,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312 : 575,890.56 = 238,464 : x
  2. Step 2: Convert to fraction form
    417,312/575,890.56 = 238,464/x
  3. Step 3: Cross multiply
    417,312x = 575,890.56 × 238,464
  4. Step 4: Simplify right side
    417,312x = 137,329,166,499.84
  5. Step 5: Solve for x
    x = 137,329,166,499.84/417,312
  6. Step 6: Final answer
    x = 329,080.32

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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.