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Finding the Fourth Proportional to 524,395.03, 723,686.74 and 294,963.01

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Solution

The fourth proportional to 524,395.03, 723,686.74 and 294,963.01 is: 407,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,395.03 : 723,686.74 = 294,963.01 : x
  2. Step 2: Convert to fraction form
    524,395.03/723,686.74 = 294,963.01/x
  3. Step 3: Cross multiply
    524,395.03x = 723,686.74 × 294,963.01
  4. Step 4: Simplify right side
    524,395.03x = 213,460,815,509.05
  5. Step 5: Solve for x
    x = 213,460,815,509.05/524,395.03
  6. Step 6: Final answer
    x = 407,061.10

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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.