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Finding the Fourth Proportional to 590,225.16, 883,505.08 and 319,681.36

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Solution

The fourth proportional to 590,225.16, 883,505.08 and 319,681.36 is: 478,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,225.16 : 883,505.08 = 319,681.36 : x
  2. Step 2: Convert to fraction form
    590,225.16/883,505.08 = 319,681.36/x
  3. Step 3: Cross multiply
    590,225.16x = 883,505.08 × 319,681.36
  4. Step 4: Simplify right side
    590,225.16x = 282,440,105,541.31
  5. Step 5: Solve for x
    x = 282,440,105,541.31/590,225.16
  6. Step 6: Final answer
    x = 478,529.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.