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Finding the Fourth Proportional to 310,312.40, 465,598.20 and 100,014.80

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Solution

The fourth proportional to 310,312.40, 465,598.20 and 100,014.80 is: 150,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,312.40 : 465,598.20 = 100,014.80 : x
  2. Step 2: Convert to fraction form
    310,312.40/465,598.20 = 100,014.80/x
  3. Step 3: Cross multiply
    310,312.40x = 465,598.20 × 100,014.80
  4. Step 4: Simplify right side
    310,312.40x = 46,566,710,853.36
  5. Step 5: Solve for x
    x = 46,566,710,853.36/310,312.40
  6. Step 6: Final answer
    x = 150,063.97

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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.