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Finding the Fourth Proportional to 523,465.02, 722,830.79 and 506,537.64

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Solution

The fourth proportional to 523,465.02, 722,830.79 and 506,537.64 is: 699,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,465.02 : 722,830.79 = 506,537.64 : x
  2. Step 2: Convert to fraction form
    523,465.02/722,830.79 = 506,537.64/x
  3. Step 3: Cross multiply
    523,465.02x = 722,830.79 × 506,537.64
  4. Step 4: Simplify right side
    523,465.02x = 366,140,999,953.25
  5. Step 5: Solve for x
    x = 366,140,999,953.25/523,465.02
  6. Step 6: Final answer
    x = 699,456.48

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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.