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Finding the Fourth Proportional to 403,298, 556,551.24 and 224,492.24

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Solution

The fourth proportional to 403,298, 556,551.24 and 224,492.24 is: 309,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,298 : 556,551.24 = 224,492.24 : x
  2. Step 2: Convert to fraction form
    403,298/556,551.24 = 224,492.24/x
  3. Step 3: Cross multiply
    403,298x = 556,551.24 × 224,492.24
  4. Step 4: Simplify right side
    403,298x = 124,941,434,542.38
  5. Step 5: Solve for x
    x = 124,941,434,542.38/403,298
  6. Step 6: Final answer
    x = 309,799.29

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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.