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Finding the Fourth Proportional to 457,315.40, 685,973.10 and 141,804.20

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Solution

The fourth proportional to 457,315.40, 685,973.10 and 141,804.20 is: 212,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,315.40 : 685,973.10 = 141,804.20 : x
  2. Step 2: Convert to fraction form
    457,315.40/685,973.10 = 141,804.20/x
  3. Step 3: Cross multiply
    457,315.40x = 685,973.10 × 141,804.20
  4. Step 4: Simplify right side
    457,315.40x = 97,273,866,667.02
  5. Step 5: Solve for x
    x = 97,273,866,667.02/457,315.40
  6. Step 6: Final answer
    x = 212,706.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.