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Finding the Fourth Proportional to 581,109.76, 871,684.30 and 154,646.00

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Solution

The fourth proportional to 581,109.76, 871,684.30 and 154,646.00 is: 231,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,109.76 : 871,684.30 = 154,646.00 : x
  2. Step 2: Convert to fraction form
    581,109.76/871,684.30 = 154,646.00/x
  3. Step 3: Cross multiply
    581,109.76x = 871,684.30 × 154,646.00
  4. Step 4: Simplify right side
    581,109.76x = 134,802,492,630.32
  5. Step 5: Solve for x
    x = 134,802,492,630.32/581,109.76
  6. Step 6: Final answer
    x = 231,974.24

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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.