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Finding the Fourth Proportional to 464,577.60, 697,384.80 and 434,121.60

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Solution

The fourth proportional to 464,577.60, 697,384.80 and 434,121.60 is: 651,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,577.60 : 697,384.80 = 434,121.60 : x
  2. Step 2: Convert to fraction form
    464,577.60/697,384.80 = 434,121.60/x
  3. Step 3: Cross multiply
    464,577.60x = 697,384.80 × 434,121.60
  4. Step 4: Simplify right side
    464,577.60x = 302,749,805,191.68
  5. Step 5: Solve for x
    x = 302,749,805,191.68/464,577.60
  6. Step 6: Final answer
    x = 651,666.82

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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.