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Finding the Fourth Proportional to 459,875.70, 634,085.64 and 314,751.48

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Solution

The fourth proportional to 459,875.70, 634,085.64 and 314,751.48 is: 433,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,875.70 : 634,085.64 = 314,751.48 : x
  2. Step 2: Convert to fraction form
    459,875.70/634,085.64 = 314,751.48/x
  3. Step 3: Cross multiply
    459,875.70x = 634,085.64 × 314,751.48
  4. Step 4: Simplify right side
    459,875.70x = 199,579,393,636.75
  5. Step 5: Solve for x
    x = 199,579,393,636.75/459,875.70
  6. Step 6: Final answer
    x = 433,985.52

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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.