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Finding the Fourth Proportional to 497,427.30, 745,703.55 and 297,827.10

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Solution

The fourth proportional to 497,427.30, 745,703.55 and 297,827.10 is: 446,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,427.30 : 745,703.55 = 297,827.10 : x
  2. Step 2: Convert to fraction form
    497,427.30/745,703.55 = 297,827.10/x
  3. Step 3: Cross multiply
    497,427.30x = 745,703.55 × 297,827.10
  4. Step 4: Simplify right side
    497,427.30x = 222,090,725,756.21
  5. Step 5: Solve for x
    x = 222,090,725,756.21/497,427.30
  6. Step 6: Final answer
    x = 446,478.76

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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.