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Finding the Fourth Proportional to 385,798.02, 532,541.01 and 314,053.48

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Solution

The fourth proportional to 385,798.02, 532,541.01 and 314,053.48 is: 433,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,798.02 : 532,541.01 = 314,053.48 : x
  2. Step 2: Convert to fraction form
    385,798.02/532,541.01 = 314,053.48/x
  3. Step 3: Cross multiply
    385,798.02x = 532,541.01 × 314,053.48
  4. Step 4: Simplify right side
    385,798.02x = 167,246,357,433.22
  5. Step 5: Solve for x
    x = 167,246,357,433.22/385,798.02
  6. Step 6: Final answer
    x = 433,507.56

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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.