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Finding the Fourth Proportional to 517,140.64, 713,681.58 and 302,406.40

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Solution

The fourth proportional to 517,140.64, 713,681.58 and 302,406.40 is: 417,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,140.64 : 713,681.58 = 302,406.40 : x
  2. Step 2: Convert to fraction form
    517,140.64/713,681.58 = 302,406.40/x
  3. Step 3: Cross multiply
    517,140.64x = 713,681.58 × 302,406.40
  4. Step 4: Simplify right side
    517,140.64x = 215,821,877,354.11
  5. Step 5: Solve for x
    x = 215,821,877,354.11/517,140.64
  6. Step 6: Final answer
    x = 417,336.91

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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.