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Finding the Fourth Proportional to 360,426.34, 497,368.26 and 199,271.98

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Solution

The fourth proportional to 360,426.34, 497,368.26 and 199,271.98 is: 274,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,426.34 : 497,368.26 = 199,271.98 : x
  2. Step 2: Convert to fraction form
    360,426.34/497,368.26 = 199,271.98/x
  3. Step 3: Cross multiply
    360,426.34x = 497,368.26 × 199,271.98
  4. Step 4: Simplify right side
    360,426.34x = 99,111,557,959.35
  5. Step 5: Solve for x
    x = 99,111,557,959.35/360,426.34
  6. Step 6: Final answer
    x = 274,984.23

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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.