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Finding the Fourth Proportional to 295,446.01, 407,709.95 and 180,716.23

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Solution

The fourth proportional to 295,446.01, 407,709.95 and 180,716.23 is: 249,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,446.01 : 407,709.95 = 180,716.23 : x
  2. Step 2: Convert to fraction form
    295,446.01/407,709.95 = 180,716.23/x
  3. Step 3: Cross multiply
    295,446.01x = 407,709.95 × 180,716.23
  4. Step 4: Simplify right side
    295,446.01x = 73,679,805,097.49
  5. Step 5: Solve for x
    x = 73,679,805,097.49/295,446.01
  6. Step 6: Final answer
    x = 249,385.01

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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.