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Finding the Fourth Proportional to 314,108.76, 433,630.62 and 242,327.64

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Solution

The fourth proportional to 314,108.76, 433,630.62 and 242,327.64 is: 334,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,108.76 : 433,630.62 = 242,327.64 : x
  2. Step 2: Convert to fraction form
    314,108.76/433,630.62 = 242,327.64/x
  3. Step 3: Cross multiply
    314,108.76x = 433,630.62 × 242,327.64
  4. Step 4: Simplify right side
    314,108.76x = 105,080,684,776.34
  5. Step 5: Solve for x
    x = 105,080,684,776.34/314,108.76
  6. Step 6: Final answer
    x = 334,535.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.