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Finding the Fourth Proportional to 464,557.30, 697,273.35 and 287,410.30

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Solution

The fourth proportional to 464,557.30, 697,273.35 and 287,410.30 is: 431,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,557.30 : 697,273.35 = 287,410.30 : x
  2. Step 2: Convert to fraction form
    464,557.30/697,273.35 = 287,410.30/x
  3. Step 3: Cross multiply
    464,557.30x = 697,273.35 × 287,410.30
  4. Step 4: Simplify right side
    464,557.30x = 200,403,542,705.51
  5. Step 5: Solve for x
    x = 200,403,542,705.51/464,557.30
  6. Step 6: Final answer
    x = 431,386.06

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1.5x scale

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.