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Finding the Fourth Proportional to 415,713.84, 573,681.44 and 224,725.52

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Solution

The fourth proportional to 415,713.84, 573,681.44 and 224,725.52 is: 310,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,713.84 : 573,681.44 = 224,725.52 : x
  2. Step 2: Convert to fraction form
    415,713.84/573,681.44 = 224,725.52/x
  3. Step 3: Cross multiply
    415,713.84x = 573,681.44 × 224,725.52
  4. Step 4: Simplify right side
    415,713.84x = 128,920,859,918.35
  5. Step 5: Solve for x
    x = 128,920,859,918.35/415,713.84
  6. Step 6: Final answer
    x = 310,119.24

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1.5x scale

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.