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Finding the Fourth Proportional to 502,823.70, 704,886.30 and 502,823.70

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Solution

The fourth proportional to 502,823.70, 704,886.30 and 502,823.70 is: 704,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,823.70 : 704,886.30 = 502,823.70 : x
  2. Step 2: Convert to fraction form
    502,823.70/704,886.30 = 502,823.70/x
  3. Step 3: Cross multiply
    502,823.70x = 704,886.30 × 502,823.70
  4. Step 4: Simplify right side
    502,823.70x = 354,433,537,445.31
  5. Step 5: Solve for x
    x = 354,433,537,445.31/502,823.70
  6. Step 6: Final answer
    x = 704,886.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.