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Finding the Fourth Proportional to 564,002.54, 846,008.13 and 190,020.14

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Solution

The fourth proportional to 564,002.54, 846,008.13 and 190,020.14 is: 285,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,002.54 : 846,008.13 = 190,020.14 : x
  2. Step 2: Convert to fraction form
    564,002.54/846,008.13 = 190,020.14/x
  3. Step 3: Cross multiply
    564,002.54x = 846,008.13 × 190,020.14
  4. Step 4: Simplify right side
    564,002.54x = 160,758,583,303.74
  5. Step 5: Solve for x
    x = 160,758,583,303.74/564,002.54
  6. Step 6: Final answer
    x = 285,031.67

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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.