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Finding the Fourth Proportional to 314,709.19, 472,060.14 and 188,384.74

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Solution

The fourth proportional to 314,709.19, 472,060.14 and 188,384.74 is: 282,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,709.19 : 472,060.14 = 188,384.74 : x
  2. Step 2: Convert to fraction form
    314,709.19/472,060.14 = 188,384.74/x
  3. Step 3: Cross multiply
    314,709.19x = 472,060.14 × 188,384.74
  4. Step 4: Simplify right side
    314,709.19x = 88,928,926,738.26
  5. Step 5: Solve for x
    x = 88,928,926,738.26/314,709.19
  6. Step 6: Final answer
    x = 282,574.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.