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Finding the Fourth Proportional to 470,429.30, 704,477.55 and 377,117.30

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Solution

The fourth proportional to 470,429.30, 704,477.55 and 377,117.30 is: 564,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,429.30 : 704,477.55 = 377,117.30 : x
  2. Step 2: Convert to fraction form
    470,429.30/704,477.55 = 377,117.30/x
  3. Step 3: Cross multiply
    470,429.30x = 704,477.55 × 377,117.30
  4. Step 4: Simplify right side
    470,429.30x = 265,670,671,566.62
  5. Step 5: Solve for x
    x = 265,670,671,566.62/470,429.30
  6. Step 6: Final answer
    x = 564,740.91

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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.