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Finding the Fourth Proportional to 470,601.95, 706,013.64 and 155,058.84

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Solution

The fourth proportional to 470,601.95, 706,013.64 and 155,058.84 is: 232,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,601.95 : 706,013.64 = 155,058.84 : x
  2. Step 2: Convert to fraction form
    470,601.95/706,013.64 = 155,058.84/x
  3. Step 3: Cross multiply
    470,601.95x = 706,013.64 × 155,058.84
  4. Step 4: Simplify right side
    470,601.95x = 109,473,656,042.58
  5. Step 5: Solve for x
    x = 109,473,656,042.58/470,601.95
  6. Step 6: Final answer
    x = 232,624.74

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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.