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Finding the Fourth Proportional to 563,677.50, 778,283.20 and 362,823.42

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Solution

The fourth proportional to 563,677.50, 778,283.20 and 362,823.42 is: 500,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,677.50 : 778,283.20 = 362,823.42 : x
  2. Step 2: Convert to fraction form
    563,677.50/778,283.20 = 362,823.42/x
  3. Step 3: Cross multiply
    563,677.50x = 778,283.20 × 362,823.42
  4. Step 4: Simplify right side
    563,677.50x = 282,379,372,352.54
  5. Step 5: Solve for x
    x = 282,379,372,352.54/563,677.50
  6. Step 6: Final answer
    x = 500,959.10

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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.