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Finding the Fourth Proportional to 410,680.01, 614,521.31 and 242,281.01

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Solution

The fourth proportional to 410,680.01, 614,521.31 and 242,281.01 is: 362,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,680.01 : 614,521.31 = 242,281.01 : x
  2. Step 2: Convert to fraction form
    410,680.01/614,521.31 = 242,281.01/x
  3. Step 3: Cross multiply
    410,680.01x = 614,521.31 × 242,281.01
  4. Step 4: Simplify right side
    410,680.01x = 148,886,839,369.31
  5. Step 5: Solve for x
    x = 148,886,839,369.31/410,680.01
  6. Step 6: Final answer
    x = 362,537.35

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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.