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Finding the Fourth Proportional to 369,154.32, 509,545.53 and 214,144.77

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Solution

The fourth proportional to 369,154.32, 509,545.53 and 214,144.77 is: 295,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,154.32 : 509,545.53 = 214,144.77 : x
  2. Step 2: Convert to fraction form
    369,154.32/509,545.53 = 214,144.77/x
  3. Step 3: Cross multiply
    369,154.32x = 509,545.53 × 214,144.77
  4. Step 4: Simplify right side
    369,154.32x = 109,116,510,326.38
  5. Step 5: Solve for x
    x = 109,116,510,326.38/369,154.32
  6. Step 6: Final answer
    x = 295,585.08

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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.