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Finding the Fourth Proportional to 456,090.84, 683,901.90 and 156,490.74

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Solution

The fourth proportional to 456,090.84, 683,901.90 and 156,490.74 is: 234,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,090.84 : 683,901.90 = 156,490.74 : x
  2. Step 2: Convert to fraction form
    456,090.84/683,901.90 = 156,490.74/x
  3. Step 3: Cross multiply
    456,090.84x = 683,901.90 × 156,490.74
  4. Step 4: Simplify right side
    456,090.84x = 107,024,314,418.41
  5. Step 5: Solve for x
    x = 107,024,314,418.41/456,090.84
  6. Step 6: Final answer
    x = 234,655.70

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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.