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Finding the Fourth Proportional to 536,897.16, 805,462.38 and 162,949.32

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Solution

The fourth proportional to 536,897.16, 805,462.38 and 162,949.32 is: 244,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,897.16 : 805,462.38 = 162,949.32 : x
  2. Step 2: Convert to fraction form
    536,897.16/805,462.38 = 162,949.32/x
  3. Step 3: Cross multiply
    536,897.16x = 805,462.38 × 162,949.32
  4. Step 4: Simplify right side
    536,897.16x = 131,249,547,106.58
  5. Step 5: Solve for x
    x = 131,249,547,106.58/536,897.16
  6. Step 6: Final answer
    x = 244,459.38

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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.