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Finding the Fourth Proportional to 413,190.40, 619,785.60 and 343,206.40

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Solution

The fourth proportional to 413,190.40, 619,785.60 and 343,206.40 is: 514,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,190.40 : 619,785.60 = 343,206.40 : x
  2. Step 2: Convert to fraction form
    413,190.40/619,785.60 = 343,206.40/x
  3. Step 3: Cross multiply
    413,190.40x = 619,785.60 × 343,206.40
  4. Step 4: Simplify right side
    413,190.40x = 212,714,384,547.84
  5. Step 5: Solve for x
    x = 212,714,384,547.84/413,190.40
  6. Step 6: Final answer
    x = 514,809.60

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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.