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Finding the Fourth Proportional to 464,751.53, 697,112.71 and 255,703.49

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Solution

The fourth proportional to 464,751.53, 697,112.71 and 255,703.49 is: 383,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,751.53 : 697,112.71 = 255,703.49 : x
  2. Step 2: Convert to fraction form
    464,751.53/697,112.71 = 255,703.49/x
  3. Step 3: Cross multiply
    464,751.53x = 697,112.71 × 255,703.49
  4. Step 4: Simplify right side
    464,751.53x = 178,254,148,106.28
  5. Step 5: Solve for x
    x = 178,254,148,106.28/464,751.53
  6. Step 6: Final answer
    x = 383,547.20

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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.