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Finding the Fourth Proportional to 602,242.56, 829,008.84 and 520,533.60

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Solution

The fourth proportional to 602,242.56, 829,008.84 and 520,533.60 is: 716,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,242.56 : 829,008.84 = 520,533.60 : x
  2. Step 2: Convert to fraction form
    602,242.56/829,008.84 = 520,533.60/x
  3. Step 3: Cross multiply
    602,242.56x = 829,008.84 × 520,533.60
  4. Step 4: Simplify right side
    602,242.56x = 431,526,955,917.02
  5. Step 5: Solve for x
    x = 431,526,955,917.02/602,242.56
  6. Step 6: Final answer
    x = 716,533.48

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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.