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Finding the Fourth Proportional to 572,038.50, 786,613.77 and 496,455.78

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Solution

The fourth proportional to 572,038.50, 786,613.77 and 496,455.78 is: 682,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,038.50 : 786,613.77 = 496,455.78 : x
  2. Step 2: Convert to fraction form
    572,038.50/786,613.77 = 496,455.78/x
  3. Step 3: Cross multiply
    572,038.50x = 786,613.77 × 496,455.78
  4. Step 4: Simplify right side
    572,038.50x = 390,518,952,744.09
  5. Step 5: Solve for x
    x = 390,518,952,744.09/572,038.50
  6. Step 6: Final answer
    x = 682,679.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.