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Finding the Fourth Proportional to 564,001.54, 846,006.63 and 190,019.14

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Solution

The fourth proportional to 564,001.54, 846,006.63 and 190,019.14 is: 285,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,001.54 : 846,006.63 = 190,019.14 : x
  2. Step 2: Convert to fraction form
    564,001.54/846,006.63 = 190,019.14/x
  3. Step 3: Cross multiply
    564,001.54x = 846,006.63 × 190,019.14
  4. Step 4: Simplify right side
    564,001.54x = 160,757,452,266.90
  5. Step 5: Solve for x
    x = 160,757,452,266.90/564,001.54
  6. Step 6: Final answer
    x = 285,030.17

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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.