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Finding the Fourth Proportional to 310,699.98, 465,047.58 and 160,733.76

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Solution

The fourth proportional to 310,699.98, 465,047.58 and 160,733.76 is: 240,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,699.98 : 465,047.58 = 160,733.76 : x
  2. Step 2: Convert to fraction form
    310,699.98/465,047.58 = 160,733.76/x
  3. Step 3: Cross multiply
    310,699.98x = 465,047.58 × 160,733.76
  4. Step 4: Simplify right side
    310,699.98x = 74,748,846,112.30
  5. Step 5: Solve for x
    x = 74,748,846,112.30/310,699.98
  6. Step 6: Final answer
    x = 240,582.08

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1.5x scale

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.