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Finding the Fourth Proportional to 306,855.86, 460,567.59 and 155,159.90

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Solution

The fourth proportional to 306,855.86, 460,567.59 and 155,159.90 is: 232,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,855.86 : 460,567.59 = 155,159.90 : x
  2. Step 2: Convert to fraction form
    306,855.86/460,567.59 = 155,159.90/x
  3. Step 3: Cross multiply
    306,855.86x = 460,567.59 × 155,159.90
  4. Step 4: Simplify right side
    306,855.86x = 71,461,620,180.16
  5. Step 5: Solve for x
    x = 71,461,620,180.16/306,855.86
  6. Step 6: Final answer
    x = 232,883.35

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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.