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Finding the Fourth Proportional to 563,684.50, 778,292.85 and 362,830.42

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Solution

The fourth proportional to 563,684.50, 778,292.85 and 362,830.42 is: 500,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,684.50 : 778,292.85 = 362,830.42 : x
  2. Step 2: Convert to fraction form
    563,684.50/778,292.85 = 362,830.42/x
  3. Step 3: Cross multiply
    563,684.50x = 778,292.85 × 362,830.42
  4. Step 4: Simplify right side
    563,684.50x = 282,388,321,648.50
  5. Step 5: Solve for x
    x = 282,388,321,648.50/563,684.50
  6. Step 6: Final answer
    x = 500,968.75

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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.