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Finding the Fourth Proportional to 517,186.88, 712,904.64 and 473,796.80

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Solution

The fourth proportional to 517,186.88, 712,904.64 and 473,796.80 is: 653,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,186.88 : 712,904.64 = 473,796.80 : x
  2. Step 2: Convert to fraction form
    517,186.88/712,904.64 = 473,796.80/x
  3. Step 3: Cross multiply
    517,186.88x = 712,904.64 × 473,796.80
  4. Step 4: Simplify right side
    517,186.88x = 337,771,937,137.15
  5. Step 5: Solve for x
    x = 337,771,937,137.15/517,186.88
  6. Step 6: Final answer
    x = 653,094.56

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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.