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Finding the Fourth Proportional to 314,547.04, 434,200.62 and 187,198.12

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Solution

The fourth proportional to 314,547.04, 434,200.62 and 187,198.12 is: 258,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,547.04 : 434,200.62 = 187,198.12 : x
  2. Step 2: Convert to fraction form
    314,547.04/434,200.62 = 187,198.12/x
  3. Step 3: Cross multiply
    314,547.04x = 434,200.62 × 187,198.12
  4. Step 4: Simplify right side
    314,547.04x = 81,281,539,766.83
  5. Step 5: Solve for x
    x = 81,281,539,766.83/314,547.04
  6. Step 6: Final answer
    x = 258,408.22

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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.