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Finding the Fourth Proportional to 360,322.94, 497,194.94 and 207,303

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Solution

The fourth proportional to 360,322.94, 497,194.94 and 207,303 is: 286,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,322.94 : 497,194.94 = 207,303 : x
  2. Step 2: Convert to fraction form
    360,322.94/497,194.94 = 207,303/x
  3. Step 3: Cross multiply
    360,322.94x = 497,194.94 × 207,303
  4. Step 4: Simplify right side
    360,322.94x = 103,070,002,646.82
  5. Step 5: Solve for x
    x = 103,070,002,646.82/360,322.94
  6. Step 6: Final answer
    x = 286,048.96

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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.