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Finding the Fourth Proportional to 565,653.38, 780,616.44 and 307,547.69

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Solution

The fourth proportional to 565,653.38, 780,616.44 and 307,547.69 is: 424,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,653.38 : 780,616.44 = 307,547.69 : x
  2. Step 2: Convert to fraction form
    565,653.38/780,616.44 = 307,547.69/x
  3. Step 3: Cross multiply
    565,653.38x = 780,616.44 × 307,547.69
  4. Step 4: Simplify right side
    565,653.38x = 240,076,778,994.94
  5. Step 5: Solve for x
    x = 240,076,778,994.94/565,653.38
  6. Step 6: Final answer
    x = 424,423.84

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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.