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Finding the Fourth Proportional to 470,482.02, 705,712.10 and 115,495.47

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Solution

The fourth proportional to 470,482.02, 705,712.10 and 115,495.47 is: 173,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,482.02 : 705,712.10 = 115,495.47 : x
  2. Step 2: Convert to fraction form
    470,482.02/705,712.10 = 115,495.47/x
  3. Step 3: Cross multiply
    470,482.02x = 705,712.10 × 115,495.47
  4. Step 4: Simplify right side
    470,482.02x = 81,506,550,096.71
  5. Step 5: Solve for x
    x = 81,506,550,096.71/470,482.02
  6. Step 6: Final answer
    x = 173,240.52

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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.