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Finding the Fourth Proportional to 405,764.48, 608,527.75 and 152,862.50

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Solution

The fourth proportional to 405,764.48, 608,527.75 and 152,862.50 is: 229,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,764.48 : 608,527.75 = 152,862.50 : x
  2. Step 2: Convert to fraction form
    405,764.48/608,527.75 = 152,862.50/x
  3. Step 3: Cross multiply
    405,764.48x = 608,527.75 × 152,862.50
  4. Step 4: Simplify right side
    405,764.48x = 93,021,073,184.38
  5. Step 5: Solve for x
    x = 93,021,073,184.38/405,764.48
  6. Step 6: Final answer
    x = 229,248.93

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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.