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Finding the Fourth Proportional to 434,686.80, 651,641.40 and 284,998.80

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Solution

The fourth proportional to 434,686.80, 651,641.40 and 284,998.80 is: 427,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,686.80 : 651,641.40 = 284,998.80 : x
  2. Step 2: Convert to fraction form
    434,686.80/651,641.40 = 284,998.80/x
  3. Step 3: Cross multiply
    434,686.80x = 651,641.40 × 284,998.80
  4. Step 4: Simplify right side
    434,686.80x = 185,717,017,030.32
  5. Step 5: Solve for x
    x = 185,717,017,030.32/434,686.80
  6. Step 6: Final answer
    x = 427,243.29

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1.5x scale

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.