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Finding the Fourth Proportional to 552,681.78, 829,019.70 and 477,573.48

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Solution

The fourth proportional to 552,681.78, 829,019.70 and 477,573.48 is: 716,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,681.78 : 829,019.70 = 477,573.48 : x
  2. Step 2: Convert to fraction form
    552,681.78/829,019.70 = 477,573.48/x
  3. Step 3: Cross multiply
    552,681.78x = 829,019.70 × 477,573.48
  4. Step 4: Simplify right side
    552,681.78x = 395,917,823,117.56
  5. Step 5: Solve for x
    x = 395,917,823,117.56/552,681.78
  6. Step 6: Final answer
    x = 716,357.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.