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Finding the Fourth Proportional to 549,384.12, 824,203.98 and 170,284.74

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Solution

The fourth proportional to 549,384.12, 824,203.98 and 170,284.74 is: 255,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,384.12 : 824,203.98 = 170,284.74 : x
  2. Step 2: Convert to fraction form
    549,384.12/824,203.98 = 170,284.74/x
  3. Step 3: Cross multiply
    549,384.12x = 824,203.98 × 170,284.74
  4. Step 4: Simplify right side
    549,384.12x = 140,349,360,441.27
  5. Step 5: Solve for x
    x = 140,349,360,441.27/549,384.12
  6. Step 6: Final answer
    x = 255,466.72

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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.