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Finding the Fourth Proportional to 296,345.16, 408,953.16 and 160,376.13

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Solution

The fourth proportional to 296,345.16, 408,953.16 and 160,376.13 is: 221,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,345.16 : 408,953.16 = 160,376.13 : x
  2. Step 2: Convert to fraction form
    296,345.16/408,953.16 = 160,376.13/x
  3. Step 3: Cross multiply
    296,345.16x = 408,953.16 × 160,376.13
  4. Step 4: Simplify right side
    296,345.16x = 65,586,325,152.07
  5. Step 5: Solve for x
    x = 65,586,325,152.07/296,345.16
  6. Step 6: Final answer
    x = 221,317.35

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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.