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Finding the Fourth Proportional to 477,308.04, 714,995.01 and 220,776

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Solution

The fourth proportional to 477,308.04, 714,995.01 and 220,776 is: 330,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,308.04 : 714,995.01 = 220,776 : x
  2. Step 2: Convert to fraction form
    477,308.04/714,995.01 = 220,776/x
  3. Step 3: Cross multiply
    477,308.04x = 714,995.01 × 220,776
  4. Step 4: Simplify right side
    477,308.04x = 157,853,738,327.76
  5. Step 5: Solve for x
    x = 157,853,738,327.76/477,308.04
  6. Step 6: Final answer
    x = 330,716.70

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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.