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Finding the Fourth Proportional to 314,897.84, 434,537.28 and 177,097.40

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Solution

The fourth proportional to 314,897.84, 434,537.28 and 177,097.40 is: 244,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,897.84 : 434,537.28 = 177,097.40 : x
  2. Step 2: Convert to fraction form
    314,897.84/434,537.28 = 177,097.40/x
  3. Step 3: Cross multiply
    314,897.84x = 434,537.28 × 177,097.40
  4. Step 4: Simplify right side
    314,897.84x = 76,955,422,491.07
  5. Step 5: Solve for x
    x = 76,955,422,491.07/314,897.84
  6. Step 6: Final answer
    x = 244,382.19

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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.