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Finding the Fourth Proportional to 464,559.80, 697,070.10 and 265,033.40

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Solution

The fourth proportional to 464,559.80, 697,070.10 and 265,033.40 is: 397,681.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,559.80 : 697,070.10 = 265,033.40 : x
  2. Step 2: Convert to fraction form
    464,559.80/697,070.10 = 265,033.40/x
  3. Step 3: Cross multiply
    464,559.80x = 697,070.10 × 265,033.40
  4. Step 4: Simplify right side
    464,559.80x = 184,746,858,641.34
  5. Step 5: Solve for x
    x = 184,746,858,641.34/464,559.80
  6. Step 6: Final answer
    x = 397,681.54

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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.