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Finding the Fourth Proportional to 469,302.94, 697,917.31 and 454,356.01

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Solution

The fourth proportional to 469,302.94, 697,917.31 and 454,356.01 is: 675,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,302.94 : 697,917.31 = 454,356.01 : x
  2. Step 2: Convert to fraction form
    469,302.94/697,917.31 = 454,356.01/x
  3. Step 3: Cross multiply
    469,302.94x = 697,917.31 × 454,356.01
  4. Step 4: Simplify right side
    469,302.94x = 317,102,925,417.42
  5. Step 5: Solve for x
    x = 317,102,925,417.42/469,302.94
  6. Step 6: Final answer
    x = 675,689.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.