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Finding the Fourth Proportional to 652,816.25, 900,838.53 and 362,444.61

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Solution

The fourth proportional to 652,816.25, 900,838.53 and 362,444.61 is: 500,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,816.25 : 900,838.53 = 362,444.61 : x
  2. Step 2: Convert to fraction form
    652,816.25/900,838.53 = 362,444.61/x
  3. Step 3: Cross multiply
    652,816.25x = 900,838.53 × 362,444.61
  4. Step 4: Simplify right side
    652,816.25x = 326,504,069,678.82
  5. Step 5: Solve for x
    x = 326,504,069,678.82/652,816.25
  6. Step 6: Final answer
    x = 500,146.97

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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.