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Finding the Fourth Proportional to 604,871.40, 907,307.10 and 415,914.60

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Solution

The fourth proportional to 604,871.40, 907,307.10 and 415,914.60 is: 623,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,871.40 : 907,307.10 = 415,914.60 : x
  2. Step 2: Convert to fraction form
    604,871.40/907,307.10 = 415,914.60/x
  3. Step 3: Cross multiply
    604,871.40x = 907,307.10 × 415,914.60
  4. Step 4: Simplify right side
    604,871.40x = 377,362,269,573.66
  5. Step 5: Solve for x
    x = 377,362,269,573.66/604,871.40
  6. Step 6: Final answer
    x = 623,871.90

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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.