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Finding the Fourth Proportional to 288,482.83, 432,631.90 and 96,316

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Solution

The fourth proportional to 288,482.83, 432,631.90 and 96,316 is: 144,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,482.83 : 432,631.90 = 96,316 : x
  2. Step 2: Convert to fraction form
    288,482.83/432,631.90 = 96,316/x
  3. Step 3: Cross multiply
    288,482.83x = 432,631.90 × 96,316
  4. Step 4: Simplify right side
    288,482.83x = 41,669,374,080.40
  5. Step 5: Solve for x
    x = 41,669,374,080.40/288,482.83
  6. Step 6: Final answer
    x = 144,443.17

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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.