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Finding the Fourth Proportional to 528,657.78, 729,528.19 and 286,935.16

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Solution

The fourth proportional to 528,657.78, 729,528.19 and 286,935.16 is: 395,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,657.78 : 729,528.19 = 286,935.16 : x
  2. Step 2: Convert to fraction form
    528,657.78/729,528.19 = 286,935.16/x
  3. Step 3: Cross multiply
    528,657.78x = 729,528.19 × 286,935.16
  4. Step 4: Simplify right side
    528,657.78x = 209,327,284,274.52
  5. Step 5: Solve for x
    x = 209,327,284,274.52/528,657.78
  6. Step 6: Final answer
    x = 395,959.91

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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.