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Finding the Fourth Proportional to 405,931.60, 608,897.40 and 219,307.60

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Solution

The fourth proportional to 405,931.60, 608,897.40 and 219,307.60 is: 328,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,931.60 : 608,897.40 = 219,307.60 : x
  2. Step 2: Convert to fraction form
    405,931.60/608,897.40 = 219,307.60/x
  3. Step 3: Cross multiply
    405,931.60x = 608,897.40 × 219,307.60
  4. Step 4: Simplify right side
    405,931.60x = 133,535,827,440.24
  5. Step 5: Solve for x
    x = 133,535,827,440.24/405,931.60
  6. Step 6: Final answer
    x = 328,961.40

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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.