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Finding the Fourth Proportional to 315,775.20, 473,662.80 and 289,970.40

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Solution

The fourth proportional to 315,775.20, 473,662.80 and 289,970.40 is: 434,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,775.20 : 473,662.80 = 289,970.40 : x
  2. Step 2: Convert to fraction form
    315,775.20/473,662.80 = 289,970.40/x
  3. Step 3: Cross multiply
    315,775.20x = 473,662.80 × 289,970.40
  4. Step 4: Simplify right side
    315,775.20x = 137,348,191,581.12
  5. Step 5: Solve for x
    x = 137,348,191,581.12/315,775.20
  6. Step 6: Final answer
    x = 434,955.60

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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.