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Finding the Fourth Proportional to 410,345.40, 614,117.70 and 343,860.60

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Solution

The fourth proportional to 410,345.40, 614,117.70 and 343,860.60 is: 514,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,345.40 : 614,117.70 = 343,860.60 : x
  2. Step 2: Convert to fraction form
    410,345.40/614,117.70 = 343,860.60/x
  3. Step 3: Cross multiply
    410,345.40x = 614,117.70 × 343,860.60
  4. Step 4: Simplify right side
    410,345.40x = 211,170,880,792.62
  5. Step 5: Solve for x
    x = 211,170,880,792.62/410,345.40
  6. Step 6: Final answer
    x = 514,617.39

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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.