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Finding the Fourth Proportional to 504,013.10, 756,019.65 and 409,534.70

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Solution

The fourth proportional to 504,013.10, 756,019.65 and 409,534.70 is: 614,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,013.10 : 756,019.65 = 409,534.70 : x
  2. Step 2: Convert to fraction form
    504,013.10/756,019.65 = 409,534.70/x
  3. Step 3: Cross multiply
    504,013.10x = 756,019.65 × 409,534.70
  4. Step 4: Simplify right side
    504,013.10x = 309,616,280,556.86
  5. Step 5: Solve for x
    x = 309,616,280,556.86/504,013.10
  6. Step 6: Final answer
    x = 614,302.05

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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.