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Finding the Fourth Proportional to 500,243.28, 689,869.38 and 463,088.52

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Solution

The fourth proportional to 500,243.28, 689,869.38 and 463,088.52 is: 638,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,243.28 : 689,869.38 = 463,088.52 : x
  2. Step 2: Convert to fraction form
    500,243.28/689,869.38 = 463,088.52/x
  3. Step 3: Cross multiply
    500,243.28x = 689,869.38 × 463,088.52
  4. Step 4: Simplify right side
    500,243.28x = 319,470,590,177.52
  5. Step 5: Solve for x
    x = 319,470,590,177.52/500,243.28
  6. Step 6: Final answer
    x = 638,630.45

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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.