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Finding the Fourth Proportional to 586,798.49, 809,908.00 and 357,431.40

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Solution

The fourth proportional to 586,798.49, 809,908.00 and 357,431.40 is: 493,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,798.49 : 809,908.00 = 357,431.40 : x
  2. Step 2: Convert to fraction form
    586,798.49/809,908.00 = 357,431.40/x
  3. Step 3: Cross multiply
    586,798.49x = 809,908.00 × 357,431.40
  4. Step 4: Simplify right side
    586,798.49x = 289,486,549,417.62
  5. Step 5: Solve for x
    x = 289,486,549,417.62/586,798.49
  6. Step 6: Final answer
    x = 493,332.13

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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.