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Finding the Fourth Proportional to 549,907.61, 824,923.70 and 493,400.54

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Solution

The fourth proportional to 549,907.61, 824,923.70 and 493,400.54 is: 740,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,907.61 : 824,923.70 = 493,400.54 : x
  2. Step 2: Convert to fraction form
    549,907.61/824,923.70 = 493,400.54/x
  3. Step 3: Cross multiply
    549,907.61x = 824,923.70 × 493,400.54
  4. Step 4: Simplify right side
    549,907.61x = 407,017,802,334.61
  5. Step 5: Solve for x
    x = 407,017,802,334.61/549,907.61
  6. Step 6: Final answer
    x = 740,156.71

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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.