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Finding the Fourth Proportional to 730,046, 1,007,453 and 407,760.80

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Solution

The fourth proportional to 730,046, 1,007,453 and 407,760.80 is: 562,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,046 : 1,007,453 = 407,760.80 : x
  2. Step 2: Convert to fraction form
    730,046/1,007,453 = 407,760.80/x
  3. Step 3: Cross multiply
    730,046x = 1,007,453 × 407,760.80
  4. Step 4: Simplify right side
    730,046x = 410,799,841,242.40
  5. Step 5: Solve for x
    x = 410,799,841,242.40/730,046
  6. Step 6: Final answer
    x = 562,704.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.