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Finding the Fourth Proportional to 659,193.42, 909,353.06 and 417,068.22

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Solution

The fourth proportional to 659,193.42, 909,353.06 and 417,068.22 is: 575,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,193.42 : 909,353.06 = 417,068.22 : x
  2. Step 2: Convert to fraction form
    659,193.42/909,353.06 = 417,068.22/x
  3. Step 3: Cross multiply
    659,193.42x = 909,353.06 × 417,068.22
  4. Step 4: Simplify right side
    659,193.42x = 379,262,262,085.75
  5. Step 5: Solve for x
    x = 379,262,262,085.75/659,193.42
  6. Step 6: Final answer
    x = 575,342.91

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1.5x scale

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.