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Finding the Fourth Proportional to 434,344, 651,356.22 and 149,962.30

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Solution

The fourth proportional to 434,344, 651,356.22 and 149,962.30 is: 224,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,344 : 651,356.22 = 149,962.30 : x
  2. Step 2: Convert to fraction form
    434,344/651,356.22 = 149,962.30/x
  3. Step 3: Cross multiply
    434,344x = 651,356.22 × 149,962.30
  4. Step 4: Simplify right side
    434,344x = 97,678,876,870.51
  5. Step 5: Solve for x
    x = 97,678,876,870.51/434,344
  6. Step 6: Final answer
    x = 224,888.28

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