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Finding the Fourth Proportional to 385,802.52, 532,547.22 and 314,057.98

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Solution

The fourth proportional to 385,802.52, 532,547.22 and 314,057.98 is: 433,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,802.52 : 532,547.22 = 314,057.98 : x
  2. Step 2: Convert to fraction form
    385,802.52/532,547.22 = 314,057.98/x
  3. Step 3: Cross multiply
    385,802.52x = 532,547.22 × 314,057.98
  4. Step 4: Simplify right side
    385,802.52x = 167,250,704,167.82
  5. Step 5: Solve for x
    x = 167,250,704,167.82/385,802.52
  6. Step 6: Final answer
    x = 433,513.77

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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.