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Finding the Fourth Proportional to 458,051.04, 687,281.04 and 177,590.16

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Solution

The fourth proportional to 458,051.04, 687,281.04 and 177,590.16 is: 266,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051.04 : 687,281.04 = 177,590.16 : x
  2. Step 2: Convert to fraction form
    458,051.04/687,281.04 = 177,590.16/x
  3. Step 3: Cross multiply
    458,051.04x = 687,281.04 × 177,590.16
  4. Step 4: Simplify right side
    458,051.04x = 122,054,349,858.57
  5. Step 5: Solve for x
    x = 122,054,349,858.57/458,051.04
  6. Step 6: Final answer
    x = 266,464.52

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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.