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Finding the Fourth Proportional to 470,038.08, 704,923.20 and 133,056.64

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Solution

The fourth proportional to 470,038.08, 704,923.20 and 133,056.64 is: 199,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,038.08 : 704,923.20 = 133,056.64 : x
  2. Step 2: Convert to fraction form
    470,038.08/704,923.20 = 133,056.64/x
  3. Step 3: Cross multiply
    470,038.08x = 704,923.20 × 133,056.64
  4. Step 4: Simplify right side
    470,038.08x = 93,794,712,450.05
  5. Step 5: Solve for x
    x = 93,794,712,450.05/470,038.08
  6. Step 6: Final answer
    x = 199,547.05

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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.