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Finding the Fourth Proportional to 405,184.40, 608,323.80 and 236,877.20

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Solution

The fourth proportional to 405,184.40, 608,323.80 and 236,877.20 is: 355,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,184.40 : 608,323.80 = 236,877.20 : x
  2. Step 2: Convert to fraction form
    405,184.40/608,323.80 = 236,877.20/x
  3. Step 3: Cross multiply
    405,184.40x = 608,323.80 × 236,877.20
  4. Step 4: Simplify right side
    405,184.40x = 144,098,038,437.36
  5. Step 5: Solve for x
    x = 144,098,038,437.36/405,184.40
  6. Step 6: Final answer
    x = 355,635.70

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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.