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Finding the Fourth Proportional to 446,482.08, 615,899.86 and 282,838.90

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Solution

The fourth proportional to 446,482.08, 615,899.86 and 282,838.90 is: 390,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,482.08 : 615,899.86 = 282,838.90 : x
  2. Step 2: Convert to fraction form
    446,482.08/615,899.86 = 282,838.90/x
  3. Step 3: Cross multiply
    446,482.08x = 615,899.86 × 282,838.90
  4. Step 4: Simplify right side
    446,482.08x = 174,200,438,912.55
  5. Step 5: Solve for x
    x = 174,200,438,912.55/446,482.08
  6. Step 6: Final answer
    x = 390,162.22

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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.