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Finding the Fourth Proportional to 632,417.40, 946,322.10 and 466,529.40

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Solution

The fourth proportional to 632,417.40, 946,322.10 and 466,529.40 is: 698,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,417.40 : 946,322.10 = 466,529.40 : x
  2. Step 2: Convert to fraction form
    632,417.40/946,322.10 = 466,529.40/x
  3. Step 3: Cross multiply
    632,417.40x = 946,322.10 × 466,529.40
  4. Step 4: Simplify right side
    632,417.40x = 441,487,081,519.74
  5. Step 5: Solve for x
    x = 441,487,081,519.74/632,417.40
  6. Step 6: Final answer
    x = 698,094.46

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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.