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Finding the Fourth Proportional to 564,065.04, 846,141.28 and 190,088

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Solution

The fourth proportional to 564,065.04, 846,141.28 and 190,088 is: 285,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,065.04 : 846,141.28 = 190,088 : x
  2. Step 2: Convert to fraction form
    564,065.04/846,141.28 = 190,088/x
  3. Step 3: Cross multiply
    564,065.04x = 846,141.28 × 190,088
  4. Step 4: Simplify right side
    564,065.04x = 160,841,303,632.64
  5. Step 5: Solve for x
    x = 160,841,303,632.64/564,065.04
  6. Step 6: Final answer
    x = 285,146.73

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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.