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Finding the Fourth Proportional to 601,226.40, 829,705.86 and 343,098.21

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Solution

The fourth proportional to 601,226.40, 829,705.86 and 343,098.21 is: 473,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,226.40 : 829,705.86 = 343,098.21 : x
  2. Step 2: Convert to fraction form
    601,226.40/829,705.86 = 343,098.21/x
  3. Step 3: Cross multiply
    601,226.40x = 829,705.86 × 343,098.21
  4. Step 4: Simplify right side
    601,226.40x = 284,670,592,871.85
  5. Step 5: Solve for x
    x = 284,670,592,871.85/601,226.40
  6. Step 6: Final answer
    x = 473,483.19

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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.