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Finding the Fourth Proportional to 464,509.60, 697,282.80 and 434,053.60

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Solution

The fourth proportional to 464,509.60, 697,282.80 and 434,053.60 is: 651,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,509.60 : 697,282.80 = 434,053.60 : x
  2. Step 2: Convert to fraction form
    464,509.60/697,282.80 = 434,053.60/x
  3. Step 3: Cross multiply
    464,509.60x = 697,282.80 × 434,053.60
  4. Step 4: Simplify right side
    464,509.60x = 302,658,109,558.08
  5. Step 5: Solve for x
    x = 302,658,109,558.08/464,509.60
  6. Step 6: Final answer
    x = 651,564.81

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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.