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Finding the Fourth Proportional to 306,005.40, 459,008.10 and 140,117.40

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Solution

The fourth proportional to 306,005.40, 459,008.10 and 140,117.40 is: 210,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,005.40 : 459,008.10 = 140,117.40 : x
  2. Step 2: Convert to fraction form
    306,005.40/459,008.10 = 140,117.40/x
  3. Step 3: Cross multiply
    306,005.40x = 459,008.10 × 140,117.40
  4. Step 4: Simplify right side
    306,005.40x = 64,315,021,550.94
  5. Step 5: Solve for x
    x = 64,315,021,550.94/306,005.40
  6. Step 6: Final answer
    x = 210,176.10

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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.