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Finding the Fourth Proportional to 343,315.20, 514,972.80 and 312,902.40

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Solution

The fourth proportional to 343,315.20, 514,972.80 and 312,902.40 is: 469,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,315.20 : 514,972.80 = 312,902.40 : x
  2. Step 2: Convert to fraction form
    343,315.20/514,972.80 = 312,902.40/x
  3. Step 3: Cross multiply
    343,315.20x = 514,972.80 × 312,902.40
  4. Step 4: Simplify right side
    343,315.20x = 161,136,225,054.72
  5. Step 5: Solve for x
    x = 161,136,225,054.72/343,315.20
  6. Step 6: Final answer
    x = 469,353.60

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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.