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Finding the Fourth Proportional to 588,342.86, 811,643.18 and 346,509.53

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Solution

The fourth proportional to 588,342.86, 811,643.18 and 346,509.53 is: 478,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,342.86 : 811,643.18 = 346,509.53 : x
  2. Step 2: Convert to fraction form
    588,342.86/811,643.18 = 346,509.53/x
  3. Step 3: Cross multiply
    588,342.86x = 811,643.18 × 346,509.53
  4. Step 4: Simplify right side
    588,342.86x = 281,242,091,038.74
  5. Step 5: Solve for x
    x = 281,242,091,038.74/588,342.86
  6. Step 6: Final answer
    x = 478,024.15

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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.