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Finding the Fourth Proportional to 343,852.80, 514,612.80 and 301,862.40

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Solution

The fourth proportional to 343,852.80, 514,612.80 and 301,862.40 is: 451,769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,852.80 : 514,612.80 = 301,862.40 : x
  2. Step 2: Convert to fraction form
    343,852.80/514,612.80 = 301,862.40/x
  3. Step 3: Cross multiply
    343,852.80x = 514,612.80 × 301,862.40
  4. Step 4: Simplify right side
    343,852.80x = 155,342,254,878.72
  5. Step 5: Solve for x
    x = 155,342,254,878.72/343,852.80
  6. Step 6: Final answer
    x = 451,769.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.