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Finding the Fourth Proportional to 447,298.51, 617,225.86 and 265,975.40

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Solution

The fourth proportional to 447,298.51, 617,225.86 and 265,975.40 is: 367,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,298.51 : 617,225.86 = 265,975.40 : x
  2. Step 2: Convert to fraction form
    447,298.51/617,225.86 = 265,975.40/x
  3. Step 3: Cross multiply
    447,298.51x = 617,225.86 × 265,975.40
  4. Step 4: Simplify right side
    447,298.51x = 164,166,893,647.32
  5. Step 5: Solve for x
    x = 164,166,893,647.32/447,298.51
  6. Step 6: Final answer
    x = 367,018.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.