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Finding the Fourth Proportional to 360,397.83, 497,322.81 and 199,254.81

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Solution

The fourth proportional to 360,397.83, 497,322.81 and 199,254.81 is: 274,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,397.83 : 497,322.81 = 199,254.81 : x
  2. Step 2: Convert to fraction form
    360,397.83/497,322.81 = 199,254.81/x
  3. Step 3: Cross multiply
    360,397.83x = 497,322.81 × 199,254.81
  4. Step 4: Simplify right side
    360,397.83x = 99,093,962,015.22
  5. Step 5: Solve for x
    x = 99,093,962,015.22/360,397.83
  6. Step 6: Final answer
    x = 274,957.16

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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.