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Finding the Fourth Proportional to 549,709.80, 824,564.70 and 470,977.80

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Solution

The fourth proportional to 549,709.80, 824,564.70 and 470,977.80 is: 706,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,709.80 : 824,564.70 = 470,977.80 : x
  2. Step 2: Convert to fraction form
    549,709.80/824,564.70 = 470,977.80/x
  3. Step 3: Cross multiply
    549,709.80x = 824,564.70 × 470,977.80
  4. Step 4: Simplify right side
    549,709.80x = 388,351,668,363.66
  5. Step 5: Solve for x
    x = 388,351,668,363.66/549,709.80
  6. Step 6: Final answer
    x = 706,466.70

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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.