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Finding the Fourth Proportional to 310,967.94, 466,451.64 and 86,328.21

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Solution

The fourth proportional to 310,967.94, 466,451.64 and 86,328.21 is: 129,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,967.94 : 466,451.64 = 86,328.21 : x
  2. Step 2: Convert to fraction form
    310,967.94/466,451.64 = 86,328.21/x
  3. Step 3: Cross multiply
    310,967.94x = 466,451.64 × 86,328.21
  4. Step 4: Simplify right side
    310,967.94x = 40,267,935,132.76
  5. Step 5: Solve for x
    x = 40,267,935,132.76/310,967.94
  6. Step 6: Final answer
    x = 129,492.24

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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.