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Finding the Fourth Proportional to 560,412.72, 841,190.90 and 410,206.84

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Solution

The fourth proportional to 560,412.72, 841,190.90 and 410,206.84 is: 615,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,412.72 : 841,190.90 = 410,206.84 : x
  2. Step 2: Convert to fraction form
    560,412.72/841,190.90 = 410,206.84/x
  3. Step 3: Cross multiply
    560,412.72x = 841,190.90 × 410,206.84
  4. Step 4: Simplify right side
    560,412.72x = 345,062,260,925.76
  5. Step 5: Solve for x
    x = 345,062,260,925.76/560,412.72
  6. Step 6: Final answer
    x = 615,728.82

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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.