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Finding the Fourth Proportional to 343,205.80, 514,808.70 and 290,847.40

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Solution

The fourth proportional to 343,205.80, 514,808.70 and 290,847.40 is: 436,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,205.80 : 514,808.70 = 290,847.40 : x
  2. Step 2: Convert to fraction form
    343,205.80/514,808.70 = 290,847.40/x
  3. Step 3: Cross multiply
    343,205.80x = 514,808.70 × 290,847.40
  4. Step 4: Simplify right side
    343,205.80x = 149,730,771,892.38
  5. Step 5: Solve for x
    x = 149,730,771,892.38/343,205.80
  6. Step 6: Final answer
    x = 436,271.10

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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.