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Finding the Fourth Proportional to 295,592.94, 407,914.65 and 180,851.58

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Solution

The fourth proportional to 295,592.94, 407,914.65 and 180,851.58 is: 249,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,592.94 : 407,914.65 = 180,851.58 : x
  2. Step 2: Convert to fraction form
    295,592.94/407,914.65 = 180,851.58/x
  3. Step 3: Cross multiply
    295,592.94x = 407,914.65 × 180,851.58
  4. Step 4: Simplify right side
    295,592.94x = 73,772,008,957.65
  5. Step 5: Solve for x
    x = 73,772,008,957.65/295,592.94
  6. Step 6: Final answer
    x = 249,572.97

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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.