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Finding the Fourth Proportional to 364,351, 546,526.50 and 115,033

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Solution

The fourth proportional to 364,351, 546,526.50 and 115,033 is: 172,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,351 : 546,526.50 = 115,033 : x
  2. Step 2: Convert to fraction form
    364,351/546,526.50 = 115,033/x
  3. Step 3: Cross multiply
    364,351x = 546,526.50 × 115,033
  4. Step 4: Simplify right side
    364,351x = 62,868,582,874.50
  5. Step 5: Solve for x
    x = 62,868,582,874.50/364,351
  6. Step 6: Final answer
    x = 172,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.