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Finding the Fourth Proportional to 433,133.94, 649,264.56 and 180,554.16

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Solution

The fourth proportional to 433,133.94, 649,264.56 and 180,554.16 is: 270,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,133.94 : 649,264.56 = 180,554.16 : x
  2. Step 2: Convert to fraction form
    433,133.94/649,264.56 = 180,554.16/x
  3. Step 3: Cross multiply
    433,133.94x = 649,264.56 × 180,554.16
  4. Step 4: Simplify right side
    433,133.94x = 117,227,417,248.57
  5. Step 5: Solve for x
    x = 117,227,417,248.57/433,133.94
  6. Step 6: Final answer
    x = 270,649.35

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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.