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Finding the Fourth Proportional to 497,578.49, 746,368.53 and 151,365.00

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Solution

The fourth proportional to 497,578.49, 746,368.53 and 151,365.00 is: 227,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,578.49 : 746,368.53 = 151,365.00 : x
  2. Step 2: Convert to fraction form
    497,578.49/746,368.53 = 151,365.00/x
  3. Step 3: Cross multiply
    497,578.49x = 746,368.53 × 151,365.00
  4. Step 4: Simplify right side
    497,578.49x = 112,974,074,774.71
  5. Step 5: Solve for x
    x = 112,974,074,774.71/497,578.49
  6. Step 6: Final answer
    x = 227,047.74

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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.