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Finding the Fourth Proportional to 357,430.76, 493,262.72 and 204,483.32

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Solution

The fourth proportional to 357,430.76, 493,262.72 and 204,483.32 is: 282,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,430.76 : 493,262.72 = 204,483.32 : x
  2. Step 2: Convert to fraction form
    357,430.76/493,262.72 = 204,483.32/x
  3. Step 3: Cross multiply
    357,430.76x = 493,262.72 × 204,483.32
  4. Step 4: Simplify right side
    357,430.76x = 100,863,998,617.83
  5. Step 5: Solve for x
    x = 100,863,998,617.83/357,430.76
  6. Step 6: Final answer
    x = 282,191.71

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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.