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Finding the Fourth Proportional to 508,390.68, 701,577 and 282,036.18

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Solution

The fourth proportional to 508,390.68, 701,577 and 282,036.18 is: 389,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,390.68 : 701,577 = 282,036.18 : x
  2. Step 2: Convert to fraction form
    508,390.68/701,577 = 282,036.18/x
  3. Step 3: Cross multiply
    508,390.68x = 701,577 × 282,036.18
  4. Step 4: Simplify right side
    508,390.68x = 197,870,097,055.86
  5. Step 5: Solve for x
    x = 197,870,097,055.86/508,390.68
  6. Step 6: Final answer
    x = 389,208.74

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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.