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Finding the Fourth Proportional to 563,683.50, 778,291.47 and 362,829.42

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Solution

The fourth proportional to 563,683.50, 778,291.47 and 362,829.42 is: 500,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,683.50 : 778,291.47 = 362,829.42 : x
  2. Step 2: Convert to fraction form
    563,683.50/778,291.47 = 362,829.42/x
  3. Step 3: Cross multiply
    563,683.50x = 778,291.47 × 362,829.42
  4. Step 4: Simplify right side
    563,683.50x = 282,387,042,651.05
  5. Step 5: Solve for x
    x = 282,387,042,651.05/563,683.50
  6. Step 6: Final answer
    x = 500,967.37

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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.