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Finding the Fourth Proportional to 464,562.60, 697,362.30 and 434,106.60

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Solution

The fourth proportional to 464,562.60, 697,362.30 and 434,106.60 is: 651,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,562.60 : 697,362.30 = 434,106.60 : x
  2. Step 2: Convert to fraction form
    464,562.60/697,362.30 = 434,106.60/x
  3. Step 3: Cross multiply
    464,562.60x = 697,362.30 × 434,106.60
  4. Step 4: Simplify right side
    464,562.60x = 302,729,577,021.18
  5. Step 5: Solve for x
    x = 302,729,577,021.18/464,562.60
  6. Step 6: Final answer
    x = 651,644.31

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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.