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Finding the Fourth Proportional to 506,929.34, 761,378.16 and 373,281.77

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Solution

The fourth proportional to 506,929.34, 761,378.16 and 373,281.77 is: 560,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,929.34 : 761,378.16 = 373,281.77 : x
  2. Step 2: Convert to fraction form
    506,929.34/761,378.16 = 373,281.77/x
  3. Step 3: Cross multiply
    506,929.34x = 761,378.16 × 373,281.77
  4. Step 4: Simplify right side
    506,929.34x = 284,208,590,507.40
  5. Step 5: Solve for x
    x = 284,208,590,507.40/506,929.34
  6. Step 6: Final answer
    x = 560,647.35

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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.