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Finding the Fourth Proportional to 524,404.80, 723,492 and 309,437.28

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Solution

The fourth proportional to 524,404.80, 723,492 and 309,437.28 is: 426,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,404.80 : 723,492 = 309,437.28 : x
  2. Step 2: Convert to fraction form
    524,404.80/723,492 = 309,437.28/x
  3. Step 3: Cross multiply
    524,404.80x = 723,492 × 309,437.28
  4. Step 4: Simplify right side
    524,404.80x = 223,875,396,581.76
  5. Step 5: Solve for x
    x = 223,875,396,581.76/524,404.80
  6. Step 6: Final answer
    x = 426,913.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.