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Finding the Fourth Proportional to 343,048.50, 473,406.93 and 208,912.50

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Solution

The fourth proportional to 343,048.50, 473,406.93 and 208,912.50 is: 288,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,048.50 : 473,406.93 = 208,912.50 : x
  2. Step 2: Convert to fraction form
    343,048.50/473,406.93 = 208,912.50/x
  3. Step 3: Cross multiply
    343,048.50x = 473,406.93 × 208,912.50
  4. Step 4: Simplify right side
    343,048.50x = 98,900,625,263.63
  5. Step 5: Solve for x
    x = 98,900,625,263.63/343,048.50
  6. Step 6: Final answer
    x = 288,299.25

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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.