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Finding the Fourth Proportional to 295,482.82, 407,781.56 and 180,725.46

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Solution

The fourth proportional to 295,482.82, 407,781.56 and 180,725.46 is: 249,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,482.82 : 407,781.56 = 180,725.46 : x
  2. Step 2: Convert to fraction form
    295,482.82/407,781.56 = 180,725.46/x
  3. Step 3: Cross multiply
    295,482.82x = 407,781.56 × 180,725.46
  4. Step 4: Simplify right side
    295,482.82x = 73,696,509,106.89
  5. Step 5: Solve for x
    x = 73,696,509,106.89/295,482.82
  6. Step 6: Final answer
    x = 249,410.47

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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.