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Finding the Fourth Proportional to 433,592.68, 597,547.38 and 312,524.68

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Solution

The fourth proportional to 433,592.68, 597,547.38 and 312,524.68 is: 430,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,592.68 : 597,547.38 = 312,524.68 : x
  2. Step 2: Convert to fraction form
    433,592.68/597,547.38 = 312,524.68/x
  3. Step 3: Cross multiply
    433,592.68x = 597,547.38 × 312,524.68
  4. Step 4: Simplify right side
    433,592.68x = 186,748,303,719.34
  5. Step 5: Solve for x
    x = 186,748,303,719.34/433,592.68
  6. Step 6: Final answer
    x = 430,699.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.