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Finding the Fourth Proportional to 456,157.32, 684,264.12 and 175,674.84

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Solution

The fourth proportional to 456,157.32, 684,264.12 and 175,674.84 is: 263,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,157.32 : 684,264.12 = 175,674.84 : x
  2. Step 2: Convert to fraction form
    456,157.32/684,264.12 = 175,674.84/x
  3. Step 3: Cross multiply
    456,157.32x = 684,264.12 × 175,674.84
  4. Step 4: Simplify right side
    456,157.32x = 120,207,989,798.74
  5. Step 5: Solve for x
    x = 120,207,989,798.74/456,157.32
  6. Step 6: Final answer
    x = 263,523.10

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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.