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Finding the Fourth Proportional to 464,564.80, 697,077.60 and 265,038.40

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Solution

The fourth proportional to 464,564.80, 697,077.60 and 265,038.40 is: 397,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,564.80 : 697,077.60 = 265,038.40 : x
  2. Step 2: Convert to fraction form
    464,564.80/697,077.60 = 265,038.40/x
  3. Step 3: Cross multiply
    464,564.80x = 697,077.60 × 265,038.40
  4. Step 4: Simplify right side
    464,564.80x = 184,752,331,779.84
  5. Step 5: Solve for x
    x = 184,752,331,779.84/464,564.80
  6. Step 6: Final answer
    x = 397,689.05

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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.