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Finding the Fourth Proportional to 282,430.96, 389,753.44 and 153,368.40

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Solution

The fourth proportional to 282,430.96, 389,753.44 and 153,368.40 is: 211,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,430.96 : 389,753.44 = 153,368.40 : x
  2. Step 2: Convert to fraction form
    282,430.96/389,753.44 = 153,368.40/x
  3. Step 3: Cross multiply
    282,430.96x = 389,753.44 × 153,368.40
  4. Step 4: Simplify right side
    282,430.96x = 59,775,860,217.43
  5. Step 5: Solve for x
    x = 59,775,860,217.43/282,430.96
  6. Step 6: Final answer
    x = 211,647.69

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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.