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Finding the Fourth Proportional to 410,210.80, 615,316.20 and 232,649.20

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Solution

The fourth proportional to 410,210.80, 615,316.20 and 232,649.20 is: 348,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,210.80 : 615,316.20 = 232,649.20 : x
  2. Step 2: Convert to fraction form
    410,210.80/615,316.20 = 232,649.20/x
  3. Step 3: Cross multiply
    410,210.80x = 615,316.20 × 232,649.20
  4. Step 4: Simplify right side
    410,210.80x = 143,152,821,677.04
  5. Step 5: Solve for x
    x = 143,152,821,677.04/410,210.80
  6. Step 6: Final answer
    x = 348,973.80

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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.