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Finding the Fourth Proportional to 410,128.80, 614,530.80 and 232,106.40

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Solution

The fourth proportional to 410,128.80, 614,530.80 and 232,106.40 is: 347,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,128.80 : 614,530.80 = 232,106.40 : x
  2. Step 2: Convert to fraction form
    410,128.80/614,530.80 = 232,106.40/x
  3. Step 3: Cross multiply
    410,128.80x = 614,530.80 × 232,106.40
  4. Step 4: Simplify right side
    410,128.80x = 142,636,531,677.12
  5. Step 5: Solve for x
    x = 142,636,531,677.12/410,128.80
  6. Step 6: Final answer
    x = 347,784.72

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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.