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Finding the Fourth Proportional to 541,975.66, 748,031.09 and 312,681.06

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Solution

The fourth proportional to 541,975.66, 748,031.09 and 312,681.06 is: 431,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,975.66 : 748,031.09 = 312,681.06 : x
  2. Step 2: Convert to fraction form
    541,975.66/748,031.09 = 312,681.06/x
  3. Step 3: Cross multiply
    541,975.66x = 748,031.09 × 312,681.06
  4. Step 4: Simplify right side
    541,975.66x = 233,895,152,570.75
  5. Step 5: Solve for x
    x = 233,895,152,570.75/541,975.66
  6. Step 6: Final answer
    x = 431,560.25

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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.