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Finding the Fourth Proportional to 417,698.60, 626,547.90 and 193,058.60

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Solution

The fourth proportional to 417,698.60, 626,547.90 and 193,058.60 is: 289,587.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.60 : 626,547.90 = 193,058.60 : x
  2. Step 2: Convert to fraction form
    417,698.60/626,547.90 = 193,058.60/x
  3. Step 3: Cross multiply
    417,698.60x = 626,547.90 × 193,058.60
  4. Step 4: Simplify right side
    417,698.60x = 120,960,460,406.94
  5. Step 5: Solve for x
    x = 120,960,460,406.94/417,698.60
  6. Step 6: Final answer
    x = 289,587.90

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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.