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Finding the Fourth Proportional to 520,210.23, 780,315.33 and 146,233.23

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Solution

The fourth proportional to 520,210.23, 780,315.33 and 146,233.23 is: 219,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,210.23 : 780,315.33 = 146,233.23 : x
  2. Step 2: Convert to fraction form
    520,210.23/780,315.33 = 146,233.23/x
  3. Step 3: Cross multiply
    520,210.23x = 780,315.33 × 146,233.23
  4. Step 4: Simplify right side
    520,210.23x = 114,108,031,124.42
  5. Step 5: Solve for x
    x = 114,108,031,124.42/520,210.23
  6. Step 6: Final answer
    x = 219,349.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.