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Finding the Fourth Proportional to 703,776.61, 972,018.85 and 463,133.48

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Solution

The fourth proportional to 703,776.61, 972,018.85 and 463,133.48 is: 639,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,776.61 : 972,018.85 = 463,133.48 : x
  2. Step 2: Convert to fraction form
    703,776.61/972,018.85 = 463,133.48/x
  3. Step 3: Cross multiply
    703,776.61x = 972,018.85 × 463,133.48
  4. Step 4: Simplify right side
    703,776.61x = 450,174,472,626.10
  5. Step 5: Solve for x
    x = 450,174,472,626.10/703,776.61
  6. Step 6: Final answer
    x = 639,655.35

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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.