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Finding the Fourth Proportional to 296,465.16, 409,117.86 and 162,329.16

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Solution

The fourth proportional to 296,465.16, 409,117.86 and 162,329.16 is: 224,012.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,465.16 : 409,117.86 = 162,329.16 : x
  2. Step 2: Convert to fraction form
    296,465.16/409,117.86 = 162,329.16/x
  3. Step 3: Cross multiply
    296,465.16x = 409,117.86 × 162,329.16
  4. Step 4: Simplify right side
    296,465.16x = 66,411,758,554.80
  5. Step 5: Solve for x
    x = 66,411,758,554.80/296,465.16
  6. Step 6: Final answer
    x = 224,012.02

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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.