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Finding the Fourth Proportional to 596,953.68, 823,662.72 and 500,547.48

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Solution

The fourth proportional to 596,953.68, 823,662.72 and 500,547.48 is: 690,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,953.68 : 823,662.72 = 500,547.48 : x
  2. Step 2: Convert to fraction form
    596,953.68/823,662.72 = 500,547.48/x
  3. Step 3: Cross multiply
    596,953.68x = 823,662.72 × 500,547.48
  4. Step 4: Simplify right side
    596,953.68x = 412,282,298,865.95
  5. Step 5: Solve for x
    x = 412,282,298,865.95/596,953.68
  6. Step 6: Final answer
    x = 690,643.70

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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.