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Finding the Fourth Proportional to 455,774.64, 683,530.20 and 175,225.20

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Solution

The fourth proportional to 455,774.64, 683,530.20 and 175,225.20 is: 262,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,774.64 : 683,530.20 = 175,225.20 : x
  2. Step 2: Convert to fraction form
    455,774.64/683,530.20 = 175,225.20/x
  3. Step 3: Cross multiply
    455,774.64x = 683,530.20 × 175,225.20
  4. Step 4: Simplify right side
    455,774.64x = 119,771,716,001.04
  5. Step 5: Solve for x
    x = 119,771,716,001.04/455,774.64
  6. Step 6: Final answer
    x = 262,787.14

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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.