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Finding the Fourth Proportional to 362,356.13, 500,097.60 and 219,117.20

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Solution

The fourth proportional to 362,356.13, 500,097.60 and 219,117.20 is: 302,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,356.13 : 500,097.60 = 219,117.20 : x
  2. Step 2: Convert to fraction form
    362,356.13/500,097.60 = 219,117.20/x
  3. Step 3: Cross multiply
    362,356.13x = 500,097.60 × 219,117.20
  4. Step 4: Simplify right side
    362,356.13x = 109,579,985,838.72
  5. Step 5: Solve for x
    x = 109,579,985,838.72/362,356.13
  6. Step 6: Final answer
    x = 302,409.64

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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.