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Finding the Fourth Proportional to 563,510.32, 778,675.28 and 410,282.42

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Solution

The fourth proportional to 563,510.32, 778,675.28 and 410,282.42 is: 566,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,510.32 : 778,675.28 = 410,282.42 : x
  2. Step 2: Convert to fraction form
    563,510.32/778,675.28 = 410,282.42/x
  3. Step 3: Cross multiply
    563,510.32x = 778,675.28 × 410,282.42
  4. Step 4: Simplify right side
    563,510.32x = 319,476,772,327.79
  5. Step 5: Solve for x
    x = 319,476,772,327.79/563,510.32
  6. Step 6: Final answer
    x = 566,940.41

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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.