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Finding the Fourth Proportional to 464,307.89, 696,509.57 and 160,701.45

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Solution

The fourth proportional to 464,307.89, 696,509.57 and 160,701.45 is: 241,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,307.89 : 696,509.57 = 160,701.45 : x
  2. Step 2: Convert to fraction form
    464,307.89/696,509.57 = 160,701.45/x
  3. Step 3: Cross multiply
    464,307.89x = 696,509.57 × 160,701.45
  4. Step 4: Simplify right side
    464,307.89x = 111,930,097,034.37
  5. Step 5: Solve for x
    x = 111,930,097,034.37/464,307.89
  6. Step 6: Final answer
    x = 241,068.69

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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.