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Finding the Fourth Proportional to 310,573.89, 465,970.19 and 152,913.06

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Solution

The fourth proportional to 310,573.89, 465,970.19 and 152,913.06 is: 229,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,573.89 : 465,970.19 = 152,913.06 : x
  2. Step 2: Convert to fraction form
    310,573.89/465,970.19 = 152,913.06/x
  3. Step 3: Cross multiply
    310,573.89x = 465,970.19 × 152,913.06
  4. Step 4: Simplify right side
    310,573.89x = 71,252,926,857.12
  5. Step 5: Solve for x
    x = 71,252,926,857.12/310,573.89
  6. Step 6: Final answer
    x = 229,423.43

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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.