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Finding the Fourth Proportional to 588,284.81, 812,010.51 and 508,568.66

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Solution

The fourth proportional to 588,284.81, 812,010.51 and 508,568.66 is: 701,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,284.81 : 812,010.51 = 508,568.66 : x
  2. Step 2: Convert to fraction form
    588,284.81/812,010.51 = 508,568.66/x
  3. Step 3: Cross multiply
    588,284.81x = 812,010.51 × 508,568.66
  4. Step 4: Simplify right side
    588,284.81x = 412,963,090,373.72
  5. Step 5: Solve for x
    x = 412,963,090,373.72/588,284.81
  6. Step 6: Final answer
    x = 701,978.17

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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.