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Finding the Fourth Proportional to 506,938.98, 699,513.93 and 403,835.76

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Solution

The fourth proportional to 506,938.98, 699,513.93 and 403,835.76 is: 557,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,938.98 : 699,513.93 = 403,835.76 : x
  2. Step 2: Convert to fraction form
    506,938.98/699,513.93 = 403,835.76/x
  3. Step 3: Cross multiply
    506,938.98x = 699,513.93 × 403,835.76
  4. Step 4: Simplify right side
    506,938.98x = 282,488,739,552.14
  5. Step 5: Solve for x
    x = 282,488,739,552.14/506,938.98
  6. Step 6: Final answer
    x = 557,244.07

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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.