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Finding the Fourth Proportional to 702,384.40, 1,052,021.40 and 577,968.40

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Solution

The fourth proportional to 702,384.40, 1,052,021.40 and 577,968.40 is: 865,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,384.40 : 1,052,021.40 = 577,968.40 : x
  2. Step 2: Convert to fraction form
    702,384.40/1,052,021.40 = 577,968.40/x
  3. Step 3: Cross multiply
    702,384.40x = 1,052,021.40 × 577,968.40
  4. Step 4: Simplify right side
    702,384.40x = 608,035,125,323.76
  5. Step 5: Solve for x
    x = 608,035,125,323.76/702,384.40
  6. Step 6: Final answer
    x = 865,672.88

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Why These Related Problems?

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