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Finding the Fourth Proportional to 473,696.61, 654,392.86 and 409,923.69

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Solution

The fourth proportional to 473,696.61, 654,392.86 and 409,923.69 is: 566,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,696.61 : 654,392.86 = 409,923.69 : x
  2. Step 2: Convert to fraction form
    473,696.61/654,392.86 = 409,923.69/x
  3. Step 3: Cross multiply
    473,696.61x = 654,392.86 × 409,923.69
  4. Step 4: Simplify right side
    473,696.61x = 268,251,132,402.07
  5. Step 5: Solve for x
    x = 268,251,132,402.07/473,696.61
  6. Step 6: Final answer
    x = 566,293.13

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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.