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Finding the Fourth Proportional to 306,565.60, 459,862.80 and 96,210.40

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Solution

The fourth proportional to 306,565.60, 459,862.80 and 96,210.40 is: 144,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,565.60 : 459,862.80 = 96,210.40 : x
  2. Step 2: Convert to fraction form
    306,565.60/459,862.80 = 96,210.40/x
  3. Step 3: Cross multiply
    306,565.60x = 459,862.80 × 96,210.40
  4. Step 4: Simplify right side
    306,565.60x = 44,243,583,933.12
  5. Step 5: Solve for x
    x = 44,243,583,933.12/306,565.60
  6. Step 6: Final answer
    x = 144,320.12

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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.