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Finding the Fourth Proportional to 565,547.84, 780,471.04 and 307,442.24

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Solution

The fourth proportional to 565,547.84, 780,471.04 and 307,442.24 is: 424,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,547.84 : 780,471.04 = 307,442.24 : x
  2. Step 2: Convert to fraction form
    565,547.84/780,471.04 = 307,442.24/x
  3. Step 3: Cross multiply
    565,547.84x = 780,471.04 × 307,442.24
  4. Step 4: Simplify right side
    565,547.84x = 239,949,764,792.73
  5. Step 5: Solve for x
    x = 239,949,764,792.73/565,547.84
  6. Step 6: Final answer
    x = 424,278.46

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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.