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Finding the Fourth Proportional to 706,712.28, 975,098.04 and 412,316.10

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Solution

The fourth proportional to 706,712.28, 975,098.04 and 412,316.10 is: 568,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,712.28 : 975,098.04 = 412,316.10 : x
  2. Step 2: Convert to fraction form
    706,712.28/975,098.04 = 412,316.10/x
  3. Step 3: Cross multiply
    706,712.28x = 975,098.04 × 412,316.10
  4. Step 4: Simplify right side
    706,712.28x = 402,048,620,970.44
  5. Step 5: Solve for x
    x = 402,048,620,970.44/706,712.28
  6. Step 6: Final answer
    x = 568,900.01

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Why These Related Problems?

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