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Finding the Fourth Proportional to 295,482.07, 407,780.52 and 180,724.71

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Solution

The fourth proportional to 295,482.07, 407,780.52 and 180,724.71 is: 249,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,482.07 : 407,780.52 = 180,724.71 : x
  2. Step 2: Convert to fraction form
    295,482.07/407,780.52 = 180,724.71/x
  3. Step 3: Cross multiply
    295,482.07x = 407,780.52 × 180,724.71
  4. Step 4: Simplify right side
    295,482.07x = 73,696,016,220.65
  5. Step 5: Solve for x
    x = 73,696,016,220.65/295,482.07
  6. Step 6: Final answer
    x = 249,409.44

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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.