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Finding the Fourth Proportional to 577,009.48, 865,426.64 and 202,945

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Solution

The fourth proportional to 577,009.48, 865,426.64 and 202,945 is: 304,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,009.48 : 865,426.64 = 202,945 : x
  2. Step 2: Convert to fraction form
    577,009.48/865,426.64 = 202,945/x
  3. Step 3: Cross multiply
    577,009.48x = 865,426.64 × 202,945
  4. Step 4: Simplify right side
    577,009.48x = 175,634,009,454.80
  5. Step 5: Solve for x
    x = 175,634,009,454.80/577,009.48
  6. Step 6: Final answer
    x = 304,386.70

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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.