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Finding the Fourth Proportional to 409,259.10, 613,888.65 and 350,210.10

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Solution

The fourth proportional to 409,259.10, 613,888.65 and 350,210.10 is: 525,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,259.10 : 613,888.65 = 350,210.10 : x
  2. Step 2: Convert to fraction form
    409,259.10/613,888.65 = 350,210.10/x
  3. Step 3: Cross multiply
    409,259.10x = 613,888.65 × 350,210.10
  4. Step 4: Simplify right side
    409,259.10x = 214,990,005,505.37
  5. Step 5: Solve for x
    x = 214,990,005,505.37/409,259.10
  6. Step 6: Final answer
    x = 525,315.15

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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.