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Finding the Fourth Proportional to 464,564.60, 697,365.30 and 434,108.60

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Solution

The fourth proportional to 464,564.60, 697,365.30 and 434,108.60 is: 651,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,564.60 : 697,365.30 = 434,108.60 : x
  2. Step 2: Convert to fraction form
    464,564.60/697,365.30 = 434,108.60/x
  3. Step 3: Cross multiply
    464,564.60x = 697,365.30 × 434,108.60
  4. Step 4: Simplify right side
    464,564.60x = 302,732,274,071.58
  5. Step 5: Solve for x
    x = 302,732,274,071.58/464,564.60
  6. Step 6: Final answer
    x = 651,647.31

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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.