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Finding the Fourth Proportional to 410,032.27, 615,045.80 and 140,030.14

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Solution

The fourth proportional to 410,032.27, 615,045.80 and 140,030.14 is: 210,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,032.27 : 615,045.80 = 140,030.14 : x
  2. Step 2: Convert to fraction form
    410,032.27/615,045.80 = 140,030.14/x
  3. Step 3: Cross multiply
    410,032.27x = 615,045.80 × 140,030.14
  4. Step 4: Simplify right side
    410,032.27x = 86,124,946,405.18
  5. Step 5: Solve for x
    x = 86,124,946,405.18/410,032.27
  6. Step 6: Final answer
    x = 210,044.31

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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.