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Finding the Fourth Proportional to 294,000.01, 440,894.14 and 101,822.40

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Solution

The fourth proportional to 294,000.01, 440,894.14 and 101,822.40 is: 152,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,000.01 : 440,894.14 = 101,822.40 : x
  2. Step 2: Convert to fraction form
    294,000.01/440,894.14 = 101,822.40/x
  3. Step 3: Cross multiply
    294,000.01x = 440,894.14 × 101,822.40
  4. Step 4: Simplify right side
    294,000.01x = 44,892,899,226.18
  5. Step 5: Solve for x
    x = 44,892,899,226.18/294,000.01
  6. Step 6: Final answer
    x = 152,696.93

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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.