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Finding the Fourth Proportional to 523,078.86, 784,501.53 and 242,559.66

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Solution

The fourth proportional to 523,078.86, 784,501.53 and 242,559.66 is: 363,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,078.86 : 784,501.53 = 242,559.66 : x
  2. Step 2: Convert to fraction form
    523,078.86/784,501.53 = 242,559.66/x
  3. Step 3: Cross multiply
    523,078.86x = 784,501.53 × 242,559.66
  4. Step 4: Simplify right side
    523,078.86x = 190,288,424,386.28
  5. Step 5: Solve for x
    x = 190,288,424,386.28/523,078.86
  6. Step 6: Final answer
    x = 363,785.35

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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.