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Finding the Fourth Proportional to 462,657.98, 693,194.16 and 310,570.34

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Solution

The fourth proportional to 462,657.98, 693,194.16 and 310,570.34 is: 465,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,657.98 : 693,194.16 = 310,570.34 : x
  2. Step 2: Convert to fraction form
    462,657.98/693,194.16 = 310,570.34/x
  3. Step 3: Cross multiply
    462,657.98x = 693,194.16 × 310,570.34
  4. Step 4: Simplify right side
    462,657.98x = 215,285,545,957.21
  5. Step 5: Solve for x
    x = 215,285,545,957.21/462,657.98
  6. Step 6: Final answer
    x = 465,323.32

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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.