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Finding the Fourth Proportional to 475,345.51, 712,538.49 and 297,977.08

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Solution

The fourth proportional to 475,345.51, 712,538.49 and 297,977.08 is: 446,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,345.51 : 712,538.49 = 297,977.08 : x
  2. Step 2: Convert to fraction form
    475,345.51/712,538.49 = 297,977.08/x
  3. Step 3: Cross multiply
    475,345.51x = 712,538.49 × 297,977.08
  4. Step 4: Simplify right side
    475,345.51x = 212,320,137,601.41
  5. Step 5: Solve for x
    x = 212,320,137,601.41/475,345.51
  6. Step 6: Final answer
    x = 446,664.86

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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.